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Finding the Fourth Proportional to 11,253.76, 16,882.56 and 3,462.40

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Solution

The fourth proportional to 11,253.76, 16,882.56 and 3,462.40 is: 5,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,253.76 : 16,882.56 = 3,462.40 : x
  2. Step 2: Convert to fraction form
    11,253.76/16,882.56 = 3,462.40/x
  3. Step 3: Cross multiply
    11,253.76x = 16,882.56 × 3,462.40
  4. Step 4: Simplify right side
    11,253.76x = 58,454,175.74
  5. Step 5: Solve for x
    x = 58,454,175.74/11,253.76
  6. Step 6: Final answer
    x = 5,194.19

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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.