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Finding the Fourth Proportional to 6,796.10, 10,195.77 and 3,099.44

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Solution

The fourth proportional to 6,796.10, 10,195.77 and 3,099.44 is: 4,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.10 : 10,195.77 = 3,099.44 : x
  2. Step 2: Convert to fraction form
    6,796.10/10,195.77 = 3,099.44/x
  3. Step 3: Cross multiply
    6,796.10x = 10,195.77 × 3,099.44
  4. Step 4: Simplify right side
    6,796.10x = 31,601,177.37
  5. Step 5: Solve for x
    x = 31,601,177.37/6,796.10
  6. Step 6: Final answer
    x = 4,649.90

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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.