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Finding the Fourth Proportional to 6,796.42, 10,191.60 and 2,412.70

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Solution

The fourth proportional to 6,796.42, 10,191.60 and 2,412.70 is: 3,617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.42 : 10,191.60 = 2,412.70 : x
  2. Step 2: Convert to fraction form
    6,796.42/10,191.60 = 2,412.70/x
  3. Step 3: Cross multiply
    6,796.42x = 10,191.60 × 2,412.70
  4. Step 4: Simplify right side
    6,796.42x = 24,589,273.32
  5. Step 5: Solve for x
    x = 24,589,273.32/6,796.42
  6. Step 6: Final answer
    x = 3,617.97

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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.