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Finding the Fourth Proportional to 11,249.31, 16,879.68 and 6,817.56

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Solution

The fourth proportional to 11,249.31, 16,879.68 and 6,817.56 is: 10,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.31 : 16,879.68 = 6,817.56 : x
  2. Step 2: Convert to fraction form
    11,249.31/16,879.68 = 6,817.56/x
  3. Step 3: Cross multiply
    11,249.31x = 16,879.68 × 6,817.56
  4. Step 4: Simplify right side
    11,249.31x = 115,078,231.18
  5. Step 5: Solve for x
    x = 115,078,231.18/11,249.31
  6. Step 6: Final answer
    x = 10,229.80

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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.