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Finding the Fourth Proportional to 6,814.52, 10,224.41 and 2,657.48

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Solution

The fourth proportional to 6,814.52, 10,224.41 and 2,657.48 is: 3,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.52 : 10,224.41 = 2,657.48 : x
  2. Step 2: Convert to fraction form
    6,814.52/10,224.41 = 2,657.48/x
  3. Step 3: Cross multiply
    6,814.52x = 10,224.41 × 2,657.48
  4. Step 4: Simplify right side
    6,814.52x = 27,171,100.68
  5. Step 5: Solve for x
    x = 27,171,100.68/6,814.52
  6. Step 6: Final answer
    x = 3,987.24

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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.