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Finding the Fourth Proportional to 8,432.90, 11,635.89 and 5,448.14

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Solution

The fourth proportional to 8,432.90, 11,635.89 and 5,448.14 is: 7,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.90 : 11,635.89 = 5,448.14 : x
  2. Step 2: Convert to fraction form
    8,432.90/11,635.89 = 5,448.14/x
  3. Step 3: Cross multiply
    8,432.90x = 11,635.89 × 5,448.14
  4. Step 4: Simplify right side
    8,432.90x = 63,393,957.74
  5. Step 5: Solve for x
    x = 63,393,957.74/8,432.90
  6. Step 6: Final answer
    x = 7,517.46

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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.