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Finding the Fourth Proportional to 8,306.85, 12,446.17 and 5,013.02

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Solution

The fourth proportional to 8,306.85, 12,446.17 and 5,013.02 is: 7,511.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.85 : 12,446.17 = 5,013.02 : x
  2. Step 2: Convert to fraction form
    8,306.85/12,446.17 = 5,013.02/x
  3. Step 3: Cross multiply
    8,306.85x = 12,446.17 × 5,013.02
  4. Step 4: Simplify right side
    8,306.85x = 62,392,882.71
  5. Step 5: Solve for x
    x = 62,392,882.71/8,306.85
  6. Step 6: Final answer
    x = 7,511.02

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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.