Ornstein-Zernike equation for a two-Yukawac(r) with core condition

We use the results of previous papers in this series to formulate a new self-consistent Ornstein-Zernike approximation for the radial distribution function of a system of particles interacting via a pair potential with a hard core and tail of Yukawa form. The approximation scheme is entirely self-contained, requiring no thermodynamic or other supplementary input. Preliminary results for a simplified version of the scheme that is applicable to a lattice gas yield critical-region thermodynamics in strikingly good agreement with the best current estimates of three dimensional lattice-gas critical behaviour.