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Finding the Fourth Proportional to 8,167.67, 12,249.84 and 2,322.71

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Solution

The fourth proportional to 8,167.67, 12,249.84 and 2,322.71 is: 3,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.67 : 12,249.84 = 2,322.71 : x
  2. Step 2: Convert to fraction form
    8,167.67/12,249.84 = 2,322.71/x
  3. Step 3: Cross multiply
    8,167.67x = 12,249.84 × 2,322.71
  4. Step 4: Simplify right side
    8,167.67x = 28,452,825.87
  5. Step 5: Solve for x
    x = 28,452,825.87/8,167.67
  6. Step 6: Final answer
    x = 3,483.59

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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.