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Finding the Fourth Proportional to 11,414.86, 17,110.62 and 7,717.44

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Solution

The fourth proportional to 11,414.86, 17,110.62 and 7,717.44 is: 11,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.86 : 17,110.62 = 7,717.44 : x
  2. Step 2: Convert to fraction form
    11,414.86/17,110.62 = 7,717.44/x
  3. Step 3: Cross multiply
    11,414.86x = 17,110.62 × 7,717.44
  4. Step 4: Simplify right side
    11,414.86x = 132,050,183.21
  5. Step 5: Solve for x
    x = 132,050,183.21/11,414.86
  6. Step 6: Final answer
    x = 11,568.27

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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.