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Finding the Fourth Proportional to 8,493.46, 12,741.27 and 2,649.58

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Solution

The fourth proportional to 8,493.46, 12,741.27 and 2,649.58 is: 3,974.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.46 : 12,741.27 = 2,649.58 : x
  2. Step 2: Convert to fraction form
    8,493.46/12,741.27 = 2,649.58/x
  3. Step 3: Cross multiply
    8,493.46x = 12,741.27 × 2,649.58
  4. Step 4: Simplify right side
    8,493.46x = 33,759,014.17
  5. Step 5: Solve for x
    x = 33,759,014.17/8,493.46
  6. Step 6: Final answer
    x = 3,974.71

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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.