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Finding the Fourth Proportional to 6,808.78, 10,213.23 and 2,191.78

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Solution

The fourth proportional to 6,808.78, 10,213.23 and 2,191.78 is: 3,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.78 : 10,213.23 = 2,191.78 : x
  2. Step 2: Convert to fraction form
    6,808.78/10,213.23 = 2,191.78/x
  3. Step 3: Cross multiply
    6,808.78x = 10,213.23 × 2,191.78
  4. Step 4: Simplify right side
    6,808.78x = 22,385,153.25
  5. Step 5: Solve for x
    x = 22,385,153.25/6,808.78
  6. Step 6: Final answer
    x = 3,287.69

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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.