Cincinnati has been eliminated from first place.

To show that Cincinnati is eliminated from first place, we start with the current standings:
            Team	W	L	GL	PCT	GB
       Milwaukee	92	59	11	0.609	0.0
         Chicago	87	64	11	0.576	5.0
      Cincinnati	75	76	11	0.497	17.0
       St. Louis	74	78	10	0.487	18.5
      Pittsburgh	65	87	10	0.428	27.5
           Total	393	364	53

Cincinnati can finish the season with at most 75 + 11 = 86 wins and will finish the season behind the following teams:
Milwaukee has already won 92 games.
Chicago has already won 87 games.
# Cincinnati Reds' magic number
# Cincinnati's magic number
# Reds' magic number
# MLB Playoff Race