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Finding the Fourth Proportional to 8,132.78, 11,229.03 and 6,428.74

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Solution

The fourth proportional to 8,132.78, 11,229.03 and 6,428.74 is: 8,876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.78 : 11,229.03 = 6,428.74 : x
  2. Step 2: Convert to fraction form
    8,132.78/11,229.03 = 6,428.74/x
  3. Step 3: Cross multiply
    8,132.78x = 11,229.03 × 6,428.74
  4. Step 4: Simplify right side
    8,132.78x = 72,188,538.89
  5. Step 5: Solve for x
    x = 72,188,538.89/8,132.78
  6. Step 6: Final answer
    x = 8,876.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.