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Finding the Fourth Proportional to 11,414.70, 15,753.42 and 6,698.88

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Solution

The fourth proportional to 11,414.70, 15,753.42 and 6,698.88 is: 9,245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.70 : 15,753.42 = 6,698.88 : x
  2. Step 2: Convert to fraction form
    11,414.70/15,753.42 = 6,698.88/x
  3. Step 3: Cross multiply
    11,414.70x = 15,753.42 × 6,698.88
  4. Step 4: Simplify right side
    11,414.70x = 105,530,270.17
  5. Step 5: Solve for x
    x = 105,530,270.17/11,414.70
  6. Step 6: Final answer
    x = 9,245.12

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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.