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Finding the Fourth Proportional to 6,780.76, 10,169.22 and 2,161.24

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Solution

The fourth proportional to 6,780.76, 10,169.22 and 2,161.24 is: 3,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.76 : 10,169.22 = 2,161.24 : x
  2. Step 2: Convert to fraction form
    6,780.76/10,169.22 = 2,161.24/x
  3. Step 3: Cross multiply
    6,780.76x = 10,169.22 × 2,161.24
  4. Step 4: Simplify right side
    6,780.76x = 21,978,125.03
  5. Step 5: Solve for x
    x = 21,978,125.03/6,780.76
  6. Step 6: Final answer
    x = 3,241.25

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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.