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Finding the Fourth Proportional to 6,781.76, 10,170.72 and 2,162.24

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Solution

The fourth proportional to 6,781.76, 10,170.72 and 2,162.24 is: 3,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.76 : 10,170.72 = 2,162.24 : x
  2. Step 2: Convert to fraction form
    6,781.76/10,170.72 = 2,162.24/x
  3. Step 3: Cross multiply
    6,781.76x = 10,170.72 × 2,162.24
  4. Step 4: Simplify right side
    6,781.76x = 21,991,537.61
  5. Step 5: Solve for x
    x = 21,991,537.61/6,781.76
  6. Step 6: Final answer
    x = 3,242.75

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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.