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Finding the Fourth Proportional to 11,414.28, 15,753.78 and 6,634.88

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Solution

The fourth proportional to 11,414.28, 15,753.78 and 6,634.88 is: 9,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.28 : 15,753.78 = 6,634.88 : x
  2. Step 2: Convert to fraction form
    11,414.28/15,753.78 = 6,634.88/x
  3. Step 3: Cross multiply
    11,414.28x = 15,753.78 × 6,634.88
  4. Step 4: Simplify right side
    11,414.28x = 104,524,439.85
  5. Step 5: Solve for x
    x = 104,524,439.85/11,414.28
  6. Step 6: Final answer
    x = 9,157.34

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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.