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Finding the Fourth Proportional to 8,309.83, 12,462.04 and 2,761.68

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Solution

The fourth proportional to 8,309.83, 12,462.04 and 2,761.68 is: 4,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.83 : 12,462.04 = 2,761.68 : x
  2. Step 2: Convert to fraction form
    8,309.83/12,462.04 = 2,761.68/x
  3. Step 3: Cross multiply
    8,309.83x = 12,462.04 × 2,761.68
  4. Step 4: Simplify right side
    8,309.83x = 34,416,183.75
  5. Step 5: Solve for x
    x = 34,416,183.75/8,309.83
  6. Step 6: Final answer
    x = 4,141.62

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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.