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Finding the Fourth Proportional to 7,998.24, 11,997.09 and 2,154.63

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Solution

The fourth proportional to 7,998.24, 11,997.09 and 2,154.63 is: 3,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,998.24 : 11,997.09 = 2,154.63 : x
  2. Step 2: Convert to fraction form
    7,998.24/11,997.09 = 2,154.63/x
  3. Step 3: Cross multiply
    7,998.24x = 11,997.09 × 2,154.63
  4. Step 4: Simplify right side
    7,998.24x = 25,849,290.03
  5. Step 5: Solve for x
    x = 25,849,290.03/7,998.24
  6. Step 6: Final answer
    x = 3,231.87

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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.