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Finding the Fourth Proportional to 6,839, 10,259.96 and 2,160.38

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Solution

The fourth proportional to 6,839, 10,259.96 and 2,160.38 is: 3,241.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839 : 10,259.96 = 2,160.38 : x
  2. Step 2: Convert to fraction form
    6,839/10,259.96 = 2,160.38/x
  3. Step 3: Cross multiply
    6,839x = 10,259.96 × 2,160.38
  4. Step 4: Simplify right side
    6,839x = 22,165,412.38
  5. Step 5: Solve for x
    x = 22,165,412.38/6,839
  6. Step 6: Final answer
    x = 3,241.03

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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.