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Finding the Fourth Proportional to 8,380.42, 12,573.36 and 3,997.31

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Solution

The fourth proportional to 8,380.42, 12,573.36 and 3,997.31 is: 5,997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.42 : 12,573.36 = 3,997.31 : x
  2. Step 2: Convert to fraction form
    8,380.42/12,573.36 = 3,997.31/x
  3. Step 3: Cross multiply
    8,380.42x = 12,573.36 × 3,997.31
  4. Step 4: Simplify right side
    8,380.42x = 50,259,539.80
  5. Step 5: Solve for x
    x = 50,259,539.80/8,380.42
  6. Step 6: Final answer
    x = 5,997.26

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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.