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Finding the Fourth Proportional to 8,229.29, 12,345.46 and 3,299.31

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Solution

The fourth proportional to 8,229.29, 12,345.46 and 3,299.31 is: 4,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.29 : 12,345.46 = 3,299.31 : x
  2. Step 2: Convert to fraction form
    8,229.29/12,345.46 = 3,299.31/x
  3. Step 3: Cross multiply
    8,229.29x = 12,345.46 × 3,299.31
  4. Step 4: Simplify right side
    8,229.29x = 40,731,509.94
  5. Step 5: Solve for x
    x = 40,731,509.94/8,229.29
  6. Step 6: Final answer
    x = 4,949.58

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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.