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Finding the Fourth Proportional to 6,728.69, 10,092.42 and 1,798.16

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Solution

The fourth proportional to 6,728.69, 10,092.42 and 1,798.16 is: 2,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.69 : 10,092.42 = 1,798.16 : x
  2. Step 2: Convert to fraction form
    6,728.69/10,092.42 = 1,798.16/x
  3. Step 3: Cross multiply
    6,728.69x = 10,092.42 × 1,798.16
  4. Step 4: Simplify right side
    6,728.69x = 18,147,735.49
  5. Step 5: Solve for x
    x = 18,147,735.49/6,728.69
  6. Step 6: Final answer
    x = 2,697.07

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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.