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Finding the Fourth Proportional to 11,591.92, 15,997.44 and 6,812.11

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Solution

The fourth proportional to 11,591.92, 15,997.44 and 6,812.11 is: 9,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,591.92 : 15,997.44 = 6,812.11 : x
  2. Step 2: Convert to fraction form
    11,591.92/15,997.44 = 6,812.11/x
  3. Step 3: Cross multiply
    11,591.92x = 15,997.44 × 6,812.11
  4. Step 4: Simplify right side
    11,591.92x = 108,976,321.00
  5. Step 5: Solve for x
    x = 108,976,321.00/11,591.92
  6. Step 6: Final answer
    x = 9,401.06

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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.