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Finding the Fourth Proportional to 8,493.54, 12,741.92 and 3,813.44

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Solution

The fourth proportional to 8,493.54, 12,741.92 and 3,813.44 is: 5,720.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493.54 : 12,741.92 = 3,813.44 : x
  2. Step 2: Convert to fraction form
    8,493.54/12,741.92 = 3,813.44/x
  3. Step 3: Cross multiply
    8,493.54x = 12,741.92 × 3,813.44
  4. Step 4: Simplify right side
    8,493.54x = 48,590,504.04
  5. Step 5: Solve for x
    x = 48,590,504.04/8,493.54
  6. Step 6: Final answer
    x = 5,720.88

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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.