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Finding the Fourth Proportional to 8,171.96, 12,249.43 and 3,785.81

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Solution

The fourth proportional to 8,171.96, 12,249.43 and 3,785.81 is: 5,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.96 : 12,249.43 = 3,785.81 : x
  2. Step 2: Convert to fraction form
    8,171.96/12,249.43 = 3,785.81/x
  3. Step 3: Cross multiply
    8,171.96x = 12,249.43 × 3,785.81
  4. Step 4: Simplify right side
    8,171.96x = 46,373,943.88
  5. Step 5: Solve for x
    x = 46,373,943.88/8,171.96
  6. Step 6: Final answer
    x = 5,674.77

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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.