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Finding the Fourth Proportional to 8,314.92, 11,474.60 and 6,192.28

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Solution

The fourth proportional to 8,314.92, 11,474.60 and 6,192.28 is: 8,545.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.92 : 11,474.60 = 6,192.28 : x
  2. Step 2: Convert to fraction form
    8,314.92/11,474.60 = 6,192.28/x
  3. Step 3: Cross multiply
    8,314.92x = 11,474.60 × 6,192.28
  4. Step 4: Simplify right side
    8,314.92x = 71,053,847.75
  5. Step 5: Solve for x
    x = 71,053,847.75/8,314.92
  6. Step 6: Final answer
    x = 8,545.34

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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.