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Finding the Fourth Proportional to 10,067.58, 13,893 and 5,591.34

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Solution

The fourth proportional to 10,067.58, 13,893 and 5,591.34 is: 7,715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.58 : 13,893 = 5,591.34 : x
  2. Step 2: Convert to fraction form
    10,067.58/13,893 = 5,591.34/x
  3. Step 3: Cross multiply
    10,067.58x = 13,893 × 5,591.34
  4. Step 4: Simplify right side
    10,067.58x = 77,680,486.62
  5. Step 5: Solve for x
    x = 77,680,486.62/10,067.58
  6. Step 6: Final answer
    x = 7,715.90

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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.