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Finding the Fourth Proportional to 7,997.84, 11,996.75 and 2,154.44

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Solution

The fourth proportional to 7,997.84, 11,996.75 and 2,154.44 is: 3,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.84 : 11,996.75 = 2,154.44 : x
  2. Step 2: Convert to fraction form
    7,997.84/11,996.75 = 2,154.44/x
  3. Step 3: Cross multiply
    7,997.84x = 11,996.75 × 2,154.44
  4. Step 4: Simplify right side
    7,997.84x = 25,846,207.31
  5. Step 5: Solve for x
    x = 25,846,207.31/7,997.84
  6. Step 6: Final answer
    x = 3,231.65

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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.