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Finding the Fourth Proportional to 25,052.36, 37,584 and 7,523.55

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Solution

The fourth proportional to 25,052.36, 37,584 and 7,523.55 is: 11,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,052.36 : 37,584 = 7,523.55 : x
  2. Step 2: Convert to fraction form
    25,052.36/37,584 = 7,523.55/x
  3. Step 3: Cross multiply
    25,052.36x = 37,584 × 7,523.55
  4. Step 4: Simplify right side
    25,052.36x = 282,765,103.20
  5. Step 5: Solve for x
    x = 282,765,103.20/25,052.36
  6. Step 6: Final answer
    x = 11,286.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.