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Finding the Fourth Proportional to 10,067.50, 13,893.39 and 5,651.50

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Solution

The fourth proportional to 10,067.50, 13,893.39 and 5,651.50 is: 7,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.50 : 13,893.39 = 5,651.50 : x
  2. Step 2: Convert to fraction form
    10,067.50/13,893.39 = 5,651.50/x
  3. Step 3: Cross multiply
    10,067.50x = 13,893.39 × 5,651.50
  4. Step 4: Simplify right side
    10,067.50x = 78,518,493.59
  5. Step 5: Solve for x
    x = 78,518,493.59/10,067.50
  6. Step 6: Final answer
    x = 7,799.20

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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.