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Finding the Fourth Proportional to 6,801.68, 10,204.14 and 2,641.80

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Solution

The fourth proportional to 6,801.68, 10,204.14 and 2,641.80 is: 3,963.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.68 : 10,204.14 = 2,641.80 : x
  2. Step 2: Convert to fraction form
    6,801.68/10,204.14 = 2,641.80/x
  3. Step 3: Cross multiply
    6,801.68x = 10,204.14 × 2,641.80
  4. Step 4: Simplify right side
    6,801.68x = 26,957,297.05
  5. Step 5: Solve for x
    x = 26,957,297.05/6,801.68
  6. Step 6: Final answer
    x = 3,963.33

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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.