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Finding the Fourth Proportional to 8,144.17, 11,229.10 and 6,883

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Solution

The fourth proportional to 8,144.17, 11,229.10 and 6,883 is: 9,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.17 : 11,229.10 = 6,883 : x
  2. Step 2: Convert to fraction form
    8,144.17/11,229.10 = 6,883/x
  3. Step 3: Cross multiply
    8,144.17x = 11,229.10 × 6,883
  4. Step 4: Simplify right side
    8,144.17x = 77,289,895.30
  5. Step 5: Solve for x
    x = 77,289,895.30/8,144.17
  6. Step 6: Final answer
    x = 9,490.21

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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.