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Finding the Fourth Proportional to 8,003.72, 11,997.37 and 3,072.03

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Solution

The fourth proportional to 8,003.72, 11,997.37 and 3,072.03 is: 4,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.72 : 11,997.37 = 3,072.03 : x
  2. Step 2: Convert to fraction form
    8,003.72/11,997.37 = 3,072.03/x
  3. Step 3: Cross multiply
    8,003.72x = 11,997.37 × 3,072.03
  4. Step 4: Simplify right side
    8,003.72x = 36,856,280.56
  5. Step 5: Solve for x
    x = 36,856,280.56/8,003.72
  6. Step 6: Final answer
    x = 4,604.89

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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.