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Finding the Fourth Proportional to 8,309.12, 12,464.96 and 2,464.96

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Solution

The fourth proportional to 8,309.12, 12,464.96 and 2,464.96 is: 3,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.12 : 12,464.96 = 2,464.96 : x
  2. Step 2: Convert to fraction form
    8,309.12/12,464.96 = 2,464.96/x
  3. Step 3: Cross multiply
    8,309.12x = 12,464.96 × 2,464.96
  4. Step 4: Simplify right side
    8,309.12x = 30,725,627.80
  5. Step 5: Solve for x
    x = 30,725,627.80/8,309.12
  6. Step 6: Final answer
    x = 3,697.82

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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.