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Finding the Fourth Proportional to 8,003.20, 11,997.60 and 5,231.20

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Solution

The fourth proportional to 8,003.20, 11,997.60 and 5,231.20 is: 7,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.20 : 11,997.60 = 5,231.20 : x
  2. Step 2: Convert to fraction form
    8,003.20/11,997.60 = 5,231.20/x
  3. Step 3: Cross multiply
    8,003.20x = 11,997.60 × 5,231.20
  4. Step 4: Simplify right side
    8,003.20x = 62,761,845.12
  5. Step 5: Solve for x
    x = 62,761,845.12/8,003.20
  6. Step 6: Final answer
    x = 7,842.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.