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Finding the Fourth Proportional to 10,067.88, 13,894.14 and 5,591.66

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Solution

The fourth proportional to 10,067.88, 13,894.14 and 5,591.66 is: 7,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.88 : 13,894.14 = 5,591.66 : x
  2. Step 2: Convert to fraction form
    10,067.88/13,894.14 = 5,591.66/x
  3. Step 3: Cross multiply
    10,067.88x = 13,894.14 × 5,591.66
  4. Step 4: Simplify right side
    10,067.88x = 77,691,258.37
  5. Step 5: Solve for x
    x = 77,691,258.37/10,067.88
  6. Step 6: Final answer
    x = 7,716.74

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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.