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Finding the Fourth Proportional to 8,531.61, 12,789.31 and 2,981.34

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Solution

The fourth proportional to 8,531.61, 12,789.31 and 2,981.34 is: 4,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.61 : 12,789.31 = 2,981.34 : x
  2. Step 2: Convert to fraction form
    8,531.61/12,789.31 = 2,981.34/x
  3. Step 3: Cross multiply
    8,531.61x = 12,789.31 × 2,981.34
  4. Step 4: Simplify right side
    8,531.61x = 38,129,217.53
  5. Step 5: Solve for x
    x = 38,129,217.53/8,531.61
  6. Step 6: Final answer
    x = 4,469.17

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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.