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Finding the Fourth Proportional to 8,241.24, 12,350.34 and 3,847.80

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Solution

The fourth proportional to 8,241.24, 12,350.34 and 3,847.80 is: 5,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.24 : 12,350.34 = 3,847.80 : x
  2. Step 2: Convert to fraction form
    8,241.24/12,350.34 = 3,847.80/x
  3. Step 3: Cross multiply
    8,241.24x = 12,350.34 × 3,847.80
  4. Step 4: Simplify right side
    8,241.24x = 47,521,638.25
  5. Step 5: Solve for x
    x = 47,521,638.25/8,241.24
  6. Step 6: Final answer
    x = 5,766.32

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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.