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Finding the Fourth Proportional to 8,694.92, 11,997.24 and 5,509.46

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Solution

The fourth proportional to 8,694.92, 11,997.24 and 5,509.46 is: 7,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.92 : 11,997.24 = 5,509.46 : x
  2. Step 2: Convert to fraction form
    8,694.92/11,997.24 = 5,509.46/x
  3. Step 3: Cross multiply
    8,694.92x = 11,997.24 × 5,509.46
  4. Step 4: Simplify right side
    8,694.92x = 66,098,313.89
  5. Step 5: Solve for x
    x = 66,098,313.89/8,694.92
  6. Step 6: Final answer
    x = 7,601.95

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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.