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Finding the Fourth Proportional to 11,449.88, 15,801.81 and 6,414.04

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Solution

The fourth proportional to 11,449.88, 15,801.81 and 6,414.04 is: 8,851.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.88 : 15,801.81 = 6,414.04 : x
  2. Step 2: Convert to fraction form
    11,449.88/15,801.81 = 6,414.04/x
  3. Step 3: Cross multiply
    11,449.88x = 15,801.81 × 6,414.04
  4. Step 4: Simplify right side
    11,449.88x = 101,353,366.27
  5. Step 5: Solve for x
    x = 101,353,366.27/11,449.88
  6. Step 6: Final answer
    x = 8,851.91

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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.