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Finding the Fourth Proportional to 10,520.39, 15,772.24 and 5,252.69

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Solution

The fourth proportional to 10,520.39, 15,772.24 and 5,252.69 is: 7,874.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.39 : 15,772.24 = 5,252.69 : x
  2. Step 2: Convert to fraction form
    10,520.39/15,772.24 = 5,252.69/x
  3. Step 3: Cross multiply
    10,520.39x = 15,772.24 × 5,252.69
  4. Step 4: Simplify right side
    10,520.39x = 82,846,733.32
  5. Step 5: Solve for x
    x = 82,846,733.32/10,520.39
  6. Step 6: Final answer
    x = 7,874.87

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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.