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Finding the Fourth Proportional to 8,171.96, 12,261.44 and 3,493

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Solution

The fourth proportional to 8,171.96, 12,261.44 and 3,493 is: 5,241.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.96 : 12,261.44 = 3,493 : x
  2. Step 2: Convert to fraction form
    8,171.96/12,261.44 = 3,493/x
  3. Step 3: Cross multiply
    8,171.96x = 12,261.44 × 3,493
  4. Step 4: Simplify right side
    8,171.96x = 42,829,209.92
  5. Step 5: Solve for x
    x = 42,829,209.92/8,171.96
  6. Step 6: Final answer
    x = 5,241.00

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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.