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Finding the Fourth Proportional to 10,220.44, 15,331 and 7,997.22

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Solution

The fourth proportional to 10,220.44, 15,331 and 7,997.22 is: 11,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220.44 : 15,331 = 7,997.22 : x
  2. Step 2: Convert to fraction form
    10,220.44/15,331 = 7,997.22/x
  3. Step 3: Cross multiply
    10,220.44x = 15,331 × 7,997.22
  4. Step 4: Simplify right side
    10,220.44x = 122,605,379.82
  5. Step 5: Solve for x
    x = 122,605,379.82/10,220.44
  6. Step 6: Final answer
    x = 11,996.10

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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.