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Finding the Fourth Proportional to 11,132.77, 15,358.02 and 6,414.31

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Solution

The fourth proportional to 11,132.77, 15,358.02 and 6,414.31 is: 8,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.77 : 15,358.02 = 6,414.31 : x
  2. Step 2: Convert to fraction form
    11,132.77/15,358.02 = 6,414.31/x
  3. Step 3: Cross multiply
    11,132.77x = 15,358.02 × 6,414.31
  4. Step 4: Simplify right side
    11,132.77x = 98,511,101.27
  5. Step 5: Solve for x
    x = 98,511,101.27/11,132.77
  6. Step 6: Final answer
    x = 8,848.75

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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.