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Finding the Fourth Proportional to 10,067.76, 13,893.44 and 5,591.36

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Solution

The fourth proportional to 10,067.76, 13,893.44 and 5,591.36 is: 7,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.76 : 13,893.44 = 5,591.36 : x
  2. Step 2: Convert to fraction form
    10,067.76/13,893.44 = 5,591.36/x
  3. Step 3: Cross multiply
    10,067.76x = 13,893.44 × 5,591.36
  4. Step 4: Simplify right side
    10,067.76x = 77,683,224.68
  5. Step 5: Solve for x
    x = 77,683,224.68/10,067.76
  6. Step 6: Final answer
    x = 7,716.04

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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.