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Finding the Fourth Proportional to 11,414.53, 17,121.69 and 6,152.02

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Solution

The fourth proportional to 11,414.53, 17,121.69 and 6,152.02 is: 9,227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.53 : 17,121.69 = 6,152.02 : x
  2. Step 2: Convert to fraction form
    11,414.53/17,121.69 = 6,152.02/x
  3. Step 3: Cross multiply
    11,414.53x = 17,121.69 × 6,152.02
  4. Step 4: Simplify right side
    11,414.53x = 105,332,979.31
  5. Step 5: Solve for x
    x = 105,332,979.31/11,414.53
  6. Step 6: Final answer
    x = 9,227.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.