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Finding the Fourth Proportional to 11,311.82, 15,610.73 and 6,834.71

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Solution

The fourth proportional to 11,311.82, 15,610.73 and 6,834.71 is: 9,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.82 : 15,610.73 = 6,834.71 : x
  2. Step 2: Convert to fraction form
    11,311.82/15,610.73 = 6,834.71/x
  3. Step 3: Cross multiply
    11,311.82x = 15,610.73 × 6,834.71
  4. Step 4: Simplify right side
    11,311.82x = 106,694,812.44
  5. Step 5: Solve for x
    x = 106,694,812.44/11,311.82
  6. Step 6: Final answer
    x = 9,432.15

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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.