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Finding the Fourth Proportional to 8,227.58, 12,338.70 and 2,679.46

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Solution

The fourth proportional to 8,227.58, 12,338.70 and 2,679.46 is: 4,018.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.58 : 12,338.70 = 2,679.46 : x
  2. Step 2: Convert to fraction form
    8,227.58/12,338.70 = 2,679.46/x
  3. Step 3: Cross multiply
    8,227.58x = 12,338.70 × 2,679.46
  4. Step 4: Simplify right side
    8,227.58x = 33,061,053.10
  5. Step 5: Solve for x
    x = 33,061,053.10/8,227.58
  6. Step 6: Final answer
    x = 4,018.32

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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.