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Finding the Fourth Proportional to 6,924.97, 10,388.37 and 2,542.48

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Solution

The fourth proportional to 6,924.97, 10,388.37 and 2,542.48 is: 3,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.97 : 10,388.37 = 2,542.48 : x
  2. Step 2: Convert to fraction form
    6,924.97/10,388.37 = 2,542.48/x
  3. Step 3: Cross multiply
    6,924.97x = 10,388.37 × 2,542.48
  4. Step 4: Simplify right side
    6,924.97x = 26,412,222.96
  5. Step 5: Solve for x
    x = 26,412,222.96/6,924.97
  6. Step 6: Final answer
    x = 3,814.06

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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.