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Finding the Fourth Proportional to 10,067.60, 13,891.81 and 5,591.39

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Solution

The fourth proportional to 10,067.60, 13,891.81 and 5,591.39 is: 7,715.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.60 : 13,891.81 = 5,591.39 : x
  2. Step 2: Convert to fraction form
    10,067.60/13,891.81 = 5,591.39/x
  3. Step 3: Cross multiply
    10,067.60x = 13,891.81 × 5,591.39
  4. Step 4: Simplify right side
    10,067.60x = 77,674,527.52
  5. Step 5: Solve for x
    x = 77,674,527.52/10,067.60
  6. Step 6: Final answer
    x = 7,715.30

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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.