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Finding the Fourth Proportional to 8,092.28, 11,176.10 and 6,321.22

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Solution

The fourth proportional to 8,092.28, 11,176.10 and 6,321.22 is: 8,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.28 : 11,176.10 = 6,321.22 : x
  2. Step 2: Convert to fraction form
    8,092.28/11,176.10 = 6,321.22/x
  3. Step 3: Cross multiply
    8,092.28x = 11,176.10 × 6,321.22
  4. Step 4: Simplify right side
    8,092.28x = 70,646,586.84
  5. Step 5: Solve for x
    x = 70,646,586.84/8,092.28
  6. Step 6: Final answer
    x = 8,730.12

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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.