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Finding the Fourth Proportional to 8,428.52, 11,635.73 and 6,157.31

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Solution

The fourth proportional to 8,428.52, 11,635.73 and 6,157.31 is: 8,500.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.52 : 11,635.73 = 6,157.31 : x
  2. Step 2: Convert to fraction form
    8,428.52/11,635.73 = 6,157.31/x
  3. Step 3: Cross multiply
    8,428.52x = 11,635.73 × 6,157.31
  4. Step 4: Simplify right side
    8,428.52x = 71,644,841.17
  5. Step 5: Solve for x
    x = 71,644,841.17/8,428.52
  6. Step 6: Final answer
    x = 8,500.28

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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.