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Finding the Fourth Proportional to 8,230.24, 12,346.20 and 3,299.20

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Solution

The fourth proportional to 8,230.24, 12,346.20 and 3,299.20 is: 4,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.24 : 12,346.20 = 3,299.20 : x
  2. Step 2: Convert to fraction form
    8,230.24/12,346.20 = 3,299.20/x
  3. Step 3: Cross multiply
    8,230.24x = 12,346.20 × 3,299.20
  4. Step 4: Simplify right side
    8,230.24x = 40,732,583.04
  5. Step 5: Solve for x
    x = 40,732,583.04/8,230.24
  6. Step 6: Final answer
    x = 4,949.14

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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.