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Finding the Fourth Proportional to 6,728.09, 10,092.01 and 3,027.70

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Solution

The fourth proportional to 6,728.09, 10,092.01 and 3,027.70 is: 4,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.09 : 10,092.01 = 3,027.70 : x
  2. Step 2: Convert to fraction form
    6,728.09/10,092.01 = 3,027.70/x
  3. Step 3: Cross multiply
    6,728.09x = 10,092.01 × 3,027.70
  4. Step 4: Simplify right side
    6,728.09x = 30,555,578.68
  5. Step 5: Solve for x
    x = 30,555,578.68/6,728.09
  6. Step 6: Final answer
    x = 4,541.49

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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.