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Finding the Fourth Proportional to 11,600.38, 16,008.50 and 6,295.24

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Solution

The fourth proportional to 11,600.38, 16,008.50 and 6,295.24 is: 8,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.38 : 16,008.50 = 6,295.24 : x
  2. Step 2: Convert to fraction form
    11,600.38/16,008.50 = 6,295.24/x
  3. Step 3: Cross multiply
    11,600.38x = 16,008.50 × 6,295.24
  4. Step 4: Simplify right side
    11,600.38x = 100,777,349.54
  5. Step 5: Solve for x
    x = 100,777,349.54/11,600.38
  6. Step 6: Final answer
    x = 8,687.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.