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Finding the Fourth Proportional to 11,706.32, 17,553.18 and 5,124.85

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Solution

The fourth proportional to 11,706.32, 17,553.18 and 5,124.85 is: 7,684.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.32 : 17,553.18 = 5,124.85 : x
  2. Step 2: Convert to fraction form
    11,706.32/17,553.18 = 5,124.85/x
  3. Step 3: Cross multiply
    11,706.32x = 17,553.18 × 5,124.85
  4. Step 4: Simplify right side
    11,706.32x = 89,957,414.52
  5. Step 5: Solve for x
    x = 89,957,414.52/11,706.32
  6. Step 6: Final answer
    x = 7,684.52

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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.