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Finding the Fourth Proportional to 8,494.32, 12,741.46 and 2,651.38

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Solution

The fourth proportional to 8,494.32, 12,741.46 and 2,651.38 is: 3,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.32 : 12,741.46 = 2,651.38 : x
  2. Step 2: Convert to fraction form
    8,494.32/12,741.46 = 2,651.38/x
  3. Step 3: Cross multiply
    8,494.32x = 12,741.46 × 2,651.38
  4. Step 4: Simplify right side
    8,494.32x = 33,782,452.21
  5. Step 5: Solve for x
    x = 33,782,452.21/8,494.32
  6. Step 6: Final answer
    x = 3,977.06

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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.