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Finding the Fourth Proportional to 8,163.96, 12,245.94 and 2,007.96

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Solution

The fourth proportional to 8,163.96, 12,245.94 and 2,007.96 is: 3,011.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.96 : 12,245.94 = 2,007.96 : x
  2. Step 2: Convert to fraction form
    8,163.96/12,245.94 = 2,007.96/x
  3. Step 3: Cross multiply
    8,163.96x = 12,245.94 × 2,007.96
  4. Step 4: Simplify right side
    8,163.96x = 24,589,357.68
  5. Step 5: Solve for x
    x = 24,589,357.68/8,163.96
  6. Step 6: Final answer
    x = 3,011.94

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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.