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Finding the Fourth Proportional to 8,380.84, 12,573.99 and 3,997.73

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Solution

The fourth proportional to 8,380.84, 12,573.99 and 3,997.73 is: 5,997.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.84 : 12,573.99 = 3,997.73 : x
  2. Step 2: Convert to fraction form
    8,380.84/12,573.99 = 3,997.73/x
  3. Step 3: Cross multiply
    8,380.84x = 12,573.99 × 3,997.73
  4. Step 4: Simplify right side
    8,380.84x = 50,267,339.18
  5. Step 5: Solve for x
    x = 50,267,339.18/8,380.84
  6. Step 6: Final answer
    x = 5,997.89

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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.