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Finding the Fourth Proportional to 8,408.49, 12,616.34 and 3,481.71

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Solution

The fourth proportional to 8,408.49, 12,616.34 and 3,481.71 is: 5,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.49 : 12,616.34 = 3,481.71 : x
  2. Step 2: Convert to fraction form
    8,408.49/12,616.34 = 3,481.71/x
  3. Step 3: Cross multiply
    8,408.49x = 12,616.34 × 3,481.71
  4. Step 4: Simplify right side
    8,408.49x = 43,926,419.73
  5. Step 5: Solve for x
    x = 43,926,419.73/8,408.49
  6. Step 6: Final answer
    x = 5,224.06

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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.