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Finding the Fourth Proportional to 8,489.52, 12,726.72 and 3,294.24

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Solution

The fourth proportional to 8,489.52, 12,726.72 and 3,294.24 is: 4,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.52 : 12,726.72 = 3,294.24 : x
  2. Step 2: Convert to fraction form
    8,489.52/12,726.72 = 3,294.24/x
  3. Step 3: Cross multiply
    8,489.52x = 12,726.72 × 3,294.24
  4. Step 4: Simplify right side
    8,489.52x = 41,924,870.09
  5. Step 5: Solve for x
    x = 41,924,870.09/8,489.52
  6. Step 6: Final answer
    x = 4,938.43

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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.