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Finding the Fourth Proportional to 8,227.49, 12,349.98 and 6,686.10

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Solution

The fourth proportional to 8,227.49, 12,349.98 and 6,686.10 is: 10,036.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.49 : 12,349.98 = 6,686.10 : x
  2. Step 2: Convert to fraction form
    8,227.49/12,349.98 = 6,686.10/x
  3. Step 3: Cross multiply
    8,227.49x = 12,349.98 × 6,686.10
  4. Step 4: Simplify right side
    8,227.49x = 82,573,201.28
  5. Step 5: Solve for x
    x = 82,573,201.28/8,227.49
  6. Step 6: Final answer
    x = 10,036.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.