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Finding the Fourth Proportional to 11,092.28, 16,640.82 and 5,164.76

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Solution

The fourth proportional to 11,092.28, 16,640.82 and 5,164.76 is: 7,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,092.28 : 16,640.82 = 5,164.76 : x
  2. Step 2: Convert to fraction form
    11,092.28/16,640.82 = 5,164.76/x
  3. Step 3: Cross multiply
    11,092.28x = 16,640.82 × 5,164.76
  4. Step 4: Simplify right side
    11,092.28x = 85,945,841.50
  5. Step 5: Solve for x
    x = 85,945,841.50/11,092.28
  6. Step 6: Final answer
    x = 7,748.26

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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.