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Finding the Fourth Proportional to 8,691.87, 11,988.40 and 5,706.61

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Solution

The fourth proportional to 8,691.87, 11,988.40 and 5,706.61 is: 7,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.87 : 11,988.40 = 5,706.61 : x
  2. Step 2: Convert to fraction form
    8,691.87/11,988.40 = 5,706.61/x
  3. Step 3: Cross multiply
    8,691.87x = 11,988.40 × 5,706.61
  4. Step 4: Simplify right side
    8,691.87x = 68,413,123.32
  5. Step 5: Solve for x
    x = 68,413,123.32/8,691.87
  6. Step 6: Final answer
    x = 7,870.94

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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.