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Finding the Fourth Proportional to 11,321.85, 16,960.68 and 7,414.41

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Solution

The fourth proportional to 11,321.85, 16,960.68 and 7,414.41 is: 11,107.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.85 : 16,960.68 = 7,414.41 : x
  2. Step 2: Convert to fraction form
    11,321.85/16,960.68 = 7,414.41/x
  3. Step 3: Cross multiply
    11,321.85x = 16,960.68 × 7,414.41
  4. Step 4: Simplify right side
    11,321.85x = 125,753,435.40
  5. Step 5: Solve for x
    x = 125,753,435.40/11,321.85
  6. Step 6: Final answer
    x = 11,107.15

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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.