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Finding the Fourth Proportional to 10,067.10, 13,893.39 and 5,591.26

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Solution

The fourth proportional to 10,067.10, 13,893.39 and 5,591.26 is: 7,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.10 : 13,893.39 = 5,591.26 : x
  2. Step 2: Convert to fraction form
    10,067.10/13,893.39 = 5,591.26/x
  3. Step 3: Cross multiply
    10,067.10x = 13,893.39 × 5,591.26
  4. Step 4: Simplify right side
    10,067.10x = 77,681,555.77
  5. Step 5: Solve for x
    x = 77,681,555.77/10,067.10
  6. Step 6: Final answer
    x = 7,716.38

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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.