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Finding the Fourth Proportional to 8,508.92, 12,761.06 and 5,384.24

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Solution

The fourth proportional to 8,508.92, 12,761.06 and 5,384.24 is: 8,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.92 : 12,761.06 = 5,384.24 : x
  2. Step 2: Convert to fraction form
    8,508.92/12,761.06 = 5,384.24/x
  3. Step 3: Cross multiply
    8,508.92x = 12,761.06 × 5,384.24
  4. Step 4: Simplify right side
    8,508.92x = 68,708,609.69
  5. Step 5: Solve for x
    x = 68,708,609.69/8,508.92
  6. Step 6: Final answer
    x = 8,074.89

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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.