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Finding the Fourth Proportional to 8,116.62, 12,142.89 and 6,253.62

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Solution

The fourth proportional to 8,116.62, 12,142.89 and 6,253.62 is: 9,355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.62 : 12,142.89 = 6,253.62 : x
  2. Step 2: Convert to fraction form
    8,116.62/12,142.89 = 6,253.62/x
  3. Step 3: Cross multiply
    8,116.62x = 12,142.89 × 6,253.62
  4. Step 4: Simplify right side
    8,116.62x = 75,937,019.76
  5. Step 5: Solve for x
    x = 75,937,019.76/8,116.62
  6. Step 6: Final answer
    x = 9,355.74

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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.