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Finding the Fourth Proportional to 11,657.31, 16,067.87 and 8,249.93

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Solution

The fourth proportional to 11,657.31, 16,067.87 and 8,249.93 is: 11,371.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.31 : 16,067.87 = 8,249.93 : x
  2. Step 2: Convert to fraction form
    11,657.31/16,067.87 = 8,249.93/x
  3. Step 3: Cross multiply
    11,657.31x = 16,067.87 × 8,249.93
  4. Step 4: Simplify right side
    11,657.31x = 132,558,743.03
  5. Step 5: Solve for x
    x = 132,558,743.03/11,657.31
  6. Step 6: Final answer
    x = 11,371.30

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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.