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Finding the Fourth Proportional to 11,641.20, 17,462.13 and 4,251.16

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Solution

The fourth proportional to 11,641.20, 17,462.13 and 4,251.16 is: 6,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.20 : 17,462.13 = 4,251.16 : x
  2. Step 2: Convert to fraction form
    11,641.20/17,462.13 = 4,251.16/x
  3. Step 3: Cross multiply
    11,641.20x = 17,462.13 × 4,251.16
  4. Step 4: Simplify right side
    11,641.20x = 74,234,308.57
  5. Step 5: Solve for x
    x = 74,234,308.57/11,641.20
  6. Step 6: Final answer
    x = 6,376.86

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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.