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Finding the Fourth Proportional to 11,254.62, 16,882.20 and 3,463.50

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Solution

The fourth proportional to 11,254.62, 16,882.20 and 3,463.50 is: 5,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254.62 : 16,882.20 = 3,463.50 : x
  2. Step 2: Convert to fraction form
    11,254.62/16,882.20 = 3,463.50/x
  3. Step 3: Cross multiply
    11,254.62x = 16,882.20 × 3,463.50
  4. Step 4: Simplify right side
    11,254.62x = 58,471,499.70
  5. Step 5: Solve for x
    x = 58,471,499.70/11,254.62
  6. Step 6: Final answer
    x = 5,195.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.