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Finding the Fourth Proportional to 8,163.84, 12,246.09 and 2,617.38

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Solution

The fourth proportional to 8,163.84, 12,246.09 and 2,617.38 is: 3,926.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.84 : 12,246.09 = 2,617.38 : x
  2. Step 2: Convert to fraction form
    8,163.84/12,246.09 = 2,617.38/x
  3. Step 3: Cross multiply
    8,163.84x = 12,246.09 × 2,617.38
  4. Step 4: Simplify right side
    8,163.84x = 32,052,671.04
  5. Step 5: Solve for x
    x = 32,052,671.04/8,163.84
  6. Step 6: Final answer
    x = 3,926.18

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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.