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Finding the Fourth Proportional to 8,204.92, 12,299.70 and 3,278.20

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Solution

The fourth proportional to 8,204.92, 12,299.70 and 3,278.20 is: 4,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.92 : 12,299.70 = 3,278.20 : x
  2. Step 2: Convert to fraction form
    8,204.92/12,299.70 = 3,278.20/x
  3. Step 3: Cross multiply
    8,204.92x = 12,299.70 × 3,278.20
  4. Step 4: Simplify right side
    8,204.92x = 40,320,876.54
  5. Step 5: Solve for x
    x = 40,320,876.54/8,204.92
  6. Step 6: Final answer
    x = 4,914.23

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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.