The distance to NGC 4725 has been derived from Cepheid variables as part of the Hubble Space Telescope Key Project on the Extragalactic Distance Scale. Thirteen F555W ( V ) and four F814W ( I ) epochs of cosmic-ray-split Wide Field and Planetary Camera 2 observations were obtained. Twenty Cepheids were discovered, with periods ranging from 12 to 49 days. Adopting a Large Magellanic Cloud distance modulus and extinction of 18.50 ± 0.10 mag and E ( V - I )=0.13 mag, respectively, a true reddening-corrected distance modulus (based on an analysis employing the ALLFRAME software package) of 30.50 ± 0.16 (random) ± 0.17(systematic) mag was determined for NGC 4725. The corresponding of distance of 12.6 ± 1.0 (random) ± 1.0 (systematic) Mpc is in excellent agreement with that found with an independent analysis based upon the DoPHOT photometry package. With a foreground reddening of only E ( V - I )=0.02, the inferred intrinsic reddening of this field in NGC 4725, E ( V - I )=0.19, makes it one of the most highly reddened fields encountered by the HST Key Project to date.
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