There are 138 female patients in the hospital.
The solution to the word problem involving ratios in the given problem can be determined as follows.
From the given information:
The total number of people in the hospital = male + female
= 184 + x(unknown)
The ratio of males in the hospital is:
[tex]\mathbf{184= \dfrac{4}{7} \times x }[/tex]
[tex]\mathbf{184\times 7= 4 x }[/tex]
x = 322
The number of female patients in the hospital can now be computed as:
[tex]\mathbf{=\dfrac{3}{7}\times 322}[/tex]
= 138 female patients
Check:
The total number of people in the hospital is:
= 184 + 138
= 322 patients
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