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Finding the Fourth Proportional to 10,067.80, 13,892.02 and 5,591.48

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Solution

The fourth proportional to 10,067.80, 13,892.02 and 5,591.48 is: 7,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.80 : 13,892.02 = 5,591.48 : x
  2. Step 2: Convert to fraction form
    10,067.80/13,892.02 = 5,591.48/x
  3. Step 3: Cross multiply
    10,067.80x = 13,892.02 × 5,591.48
  4. Step 4: Simplify right side
    10,067.80x = 77,676,951.99
  5. Step 5: Solve for x
    x = 77,676,951.99/10,067.80
  6. Step 6: Final answer
    x = 7,715.38

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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.