spatial statistics - selecting a percentage (75%) of a group of points based on the distance from one separate point in ArcGIS?

This is ArcGIS specific.

I have 2 point shapefiles A and B, the first one (A) is a single point that contains a lat long, the second (B) is a multitude of points (over 12k) that each contain their lat and long. What I am trying to do is to automate the selection of 75% of shapefile B's points based on the distance from shapefile A. In other words I want to select the nearest 75% of shapefile B points to shapefile A's one point.