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Finding the Fourth Proportional to 8,444.88, 12,654 and 3,997.44

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Solution

The fourth proportional to 8,444.88, 12,654 and 3,997.44 is: 5,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.88 : 12,654 = 3,997.44 : x
  2. Step 2: Convert to fraction form
    8,444.88/12,654 = 3,997.44/x
  3. Step 3: Cross multiply
    8,444.88x = 12,654 × 3,997.44
  4. Step 4: Simplify right side
    8,444.88x = 50,583,605.76
  5. Step 5: Solve for x
    x = 50,583,605.76/8,444.88
  6. Step 6: Final answer
    x = 5,989.85

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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.