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Finding the Fourth Proportional to 11,614.92, 17,432.28 and 5,046.36

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Solution

The fourth proportional to 11,614.92, 17,432.28 and 5,046.36 is: 7,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.92 : 17,432.28 = 5,046.36 : x
  2. Step 2: Convert to fraction form
    11,614.92/17,432.28 = 5,046.36/x
  3. Step 3: Cross multiply
    11,614.92x = 17,432.28 × 5,046.36
  4. Step 4: Simplify right side
    11,614.92x = 87,969,560.50
  5. Step 5: Solve for x
    x = 87,969,560.50/11,614.92
  6. Step 6: Final answer
    x = 7,573.84

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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.