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Finding the Fourth Proportional to 7,997.44, 11,992.24 and 2,802.56

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Solution

The fourth proportional to 7,997.44, 11,992.24 and 2,802.56 is: 4,202.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.44 : 11,992.24 = 2,802.56 : x
  2. Step 2: Convert to fraction form
    7,997.44/11,992.24 = 2,802.56/x
  3. Step 3: Cross multiply
    7,997.44x = 11,992.24 × 2,802.56
  4. Step 4: Simplify right side
    7,997.44x = 33,608,972.13
  5. Step 5: Solve for x
    x = 33,608,972.13/7,997.44
  6. Step 6: Final answer
    x = 4,202.47

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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.