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Finding the Fourth Proportional to 11,997.44, 17,996.32 and 4,206.48

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Solution

The fourth proportional to 11,997.44, 17,996.32 and 4,206.48 is: 6,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.44 : 17,996.32 = 4,206.48 : x
  2. Step 2: Convert to fraction form
    11,997.44/17,996.32 = 4,206.48/x
  3. Step 3: Cross multiply
    11,997.44x = 17,996.32 × 4,206.48
  4. Step 4: Simplify right side
    11,997.44x = 75,701,160.15
  5. Step 5: Solve for x
    x = 75,701,160.15/11,997.44
  6. Step 6: Final answer
    x = 6,309.78

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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.