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Finding the Fourth Proportional to 11,640.38, 17,449.98 and 4,243.15

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Solution

The fourth proportional to 11,640.38, 17,449.98 and 4,243.15 is: 6,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.38 : 17,449.98 = 4,243.15 : x
  2. Step 2: Convert to fraction form
    11,640.38/17,449.98 = 4,243.15/x
  3. Step 3: Cross multiply
    11,640.38x = 17,449.98 × 4,243.15
  4. Step 4: Simplify right side
    11,640.38x = 74,042,882.64
  5. Step 5: Solve for x
    x = 74,042,882.64/11,640.38
  6. Step 6: Final answer
    x = 6,360.86

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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.