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Finding the Fourth Proportional to 8,171.85, 12,249 and 3,234.63

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Solution

The fourth proportional to 8,171.85, 12,249 and 3,234.63 is: 4,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.85 : 12,249 = 3,234.63 : x
  2. Step 2: Convert to fraction form
    8,171.85/12,249 = 3,234.63/x
  3. Step 3: Cross multiply
    8,171.85x = 12,249 × 3,234.63
  4. Step 4: Simplify right side
    8,171.85x = 39,620,982.87
  5. Step 5: Solve for x
    x = 39,620,982.87/8,171.85
  6. Step 6: Final answer
    x = 4,848.47

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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.