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Finding the Fourth Proportional to 10,914.52, 16,375.94 and 5,067.14

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Solution

The fourth proportional to 10,914.52, 16,375.94 and 5,067.14 is: 7,602.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914.52 : 16,375.94 = 5,067.14 : x
  2. Step 2: Convert to fraction form
    10,914.52/16,375.94 = 5,067.14/x
  3. Step 3: Cross multiply
    10,914.52x = 16,375.94 × 5,067.14
  4. Step 4: Simplify right side
    10,914.52x = 82,979,180.61
  5. Step 5: Solve for x
    x = 82,979,180.61/10,914.52
  6. Step 6: Final answer
    x = 7,602.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.