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Finding the Fourth Proportional to 6,781.26, 10,168.23 and 2,099.25

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Solution

The fourth proportional to 6,781.26, 10,168.23 and 2,099.25 is: 3,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.26 : 10,168.23 = 2,099.25 : x
  2. Step 2: Convert to fraction form
    6,781.26/10,168.23 = 2,099.25/x
  3. Step 3: Cross multiply
    6,781.26x = 10,168.23 × 2,099.25
  4. Step 4: Simplify right side
    6,781.26x = 21,345,656.83
  5. Step 5: Solve for x
    x = 21,345,656.83/6,781.26
  6. Step 6: Final answer
    x = 3,147.74

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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.