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Finding the Fourth Proportional to 13,761.29, 18,988.92 and 7,711.85

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Solution

The fourth proportional to 13,761.29, 18,988.92 and 7,711.85 is: 10,641.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.29 : 18,988.92 = 7,711.85 : x
  2. Step 2: Convert to fraction form
    13,761.29/18,988.92 = 7,711.85/x
  3. Step 3: Cross multiply
    13,761.29x = 18,988.92 × 7,711.85
  4. Step 4: Simplify right side
    13,761.29x = 146,439,702.70
  5. Step 5: Solve for x
    x = 146,439,702.70/13,761.29
  6. Step 6: Final answer
    x = 10,641.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.