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Finding the Fourth Proportional to 8,264.13, 12,374.92 and 5,772.97

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Solution

The fourth proportional to 8,264.13, 12,374.92 and 5,772.97 is: 8,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.13 : 12,374.92 = 5,772.97 : x
  2. Step 2: Convert to fraction form
    8,264.13/12,374.92 = 5,772.97/x
  3. Step 3: Cross multiply
    8,264.13x = 12,374.92 × 5,772.97
  4. Step 4: Simplify right side
    8,264.13x = 71,440,041.91
  5. Step 5: Solve for x
    x = 71,440,041.91/8,264.13
  6. Step 6: Final answer
    x = 8,644.59

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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.