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Finding the Fourth Proportional to 10,067.86, 13,893.12 and 5,591.33

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Solution

The fourth proportional to 10,067.86, 13,893.12 and 5,591.33 is: 7,715.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.86 : 13,893.12 = 5,591.33 : x
  2. Step 2: Convert to fraction form
    10,067.86/13,893.12 = 5,591.33/x
  3. Step 3: Cross multiply
    10,067.86x = 13,893.12 × 5,591.33
  4. Step 4: Simplify right side
    10,067.86x = 77,681,001.28
  5. Step 5: Solve for x
    x = 77,681,001.28/10,067.86
  6. Step 6: Final answer
    x = 7,715.74

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