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Finding the Fourth Proportional to 8,196.92, 11,311.82 and 4,471.16

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Solution

The fourth proportional to 8,196.92, 11,311.82 and 4,471.16 is: 6,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.92 : 11,311.82 = 4,471.16 : x
  2. Step 2: Convert to fraction form
    8,196.92/11,311.82 = 4,471.16/x
  3. Step 3: Cross multiply
    8,196.92x = 11,311.82 × 4,471.16
  4. Step 4: Simplify right side
    8,196.92x = 50,576,957.11
  5. Step 5: Solve for x
    x = 50,576,957.11/8,196.92
  6. Step 6: Final answer
    x = 6,170.24

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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.