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Finding the Fourth Proportional to 11,449.18, 15,801.18 and 6,414.76

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Solution

The fourth proportional to 11,449.18, 15,801.18 and 6,414.76 is: 8,853.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449.18 : 15,801.18 = 6,414.76 : x
  2. Step 2: Convert to fraction form
    11,449.18/15,801.18 = 6,414.76/x
  3. Step 3: Cross multiply
    11,449.18x = 15,801.18 × 6,414.76
  4. Step 4: Simplify right side
    11,449.18x = 101,360,777.42
  5. Step 5: Solve for x
    x = 101,360,777.42/11,449.18
  6. Step 6: Final answer
    x = 8,853.10

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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.