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Finding the Fourth Proportional to 8,163.72, 12,246.39 and 3,782.43

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Solution

The fourth proportional to 8,163.72, 12,246.39 and 3,782.43 is: 5,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.72 : 12,246.39 = 3,782.43 : x
  2. Step 2: Convert to fraction form
    8,163.72/12,246.39 = 3,782.43/x
  3. Step 3: Cross multiply
    8,163.72x = 12,246.39 × 3,782.43
  4. Step 4: Simplify right side
    8,163.72x = 46,321,112.93
  5. Step 5: Solve for x
    x = 46,321,112.93/8,163.72
  6. Step 6: Final answer
    x = 5,674.02

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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.