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Finding the Fourth Proportional to 6,832.97, 10,242.61 and 2,667.25

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Solution

The fourth proportional to 6,832.97, 10,242.61 and 2,667.25 is: 3,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.97 : 10,242.61 = 2,667.25 : x
  2. Step 2: Convert to fraction form
    6,832.97/10,242.61 = 2,667.25/x
  3. Step 3: Cross multiply
    6,832.97x = 10,242.61 × 2,667.25
  4. Step 4: Simplify right side
    6,832.97x = 27,319,601.52
  5. Step 5: Solve for x
    x = 27,319,601.52/6,832.97
  6. Step 6: Final answer
    x = 3,998.20

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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.