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Finding the Fourth Proportional to 6,808.82, 10,213.85 and 2,649.13

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Solution

The fourth proportional to 6,808.82, 10,213.85 and 2,649.13 is: 3,973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.82 : 10,213.85 = 2,649.13 : x
  2. Step 2: Convert to fraction form
    6,808.82/10,213.85 = 2,649.13/x
  3. Step 3: Cross multiply
    6,808.82x = 10,213.85 × 2,649.13
  4. Step 4: Simplify right side
    6,808.82x = 27,057,797.54
  5. Step 5: Solve for x
    x = 27,057,797.54/6,808.82
  6. Step 6: Final answer
    x = 3,973.94

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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.