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Finding the Fourth Proportional to 6,806.49, 10,213.69 and 2,649.37

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Solution

The fourth proportional to 6,806.49, 10,213.69 and 2,649.37 is: 3,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.49 : 10,213.69 = 2,649.37 : x
  2. Step 2: Convert to fraction form
    6,806.49/10,213.69 = 2,649.37/x
  3. Step 3: Cross multiply
    6,806.49x = 10,213.69 × 2,649.37
  4. Step 4: Simplify right side
    6,806.49x = 27,059,843.88
  5. Step 5: Solve for x
    x = 27,059,843.88/6,806.49
  6. Step 6: Final answer
    x = 3,975.59

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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.