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Finding the Fourth Proportional to 6,843.20, 10,266.30 and 2,683.20

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Solution

The fourth proportional to 6,843.20, 10,266.30 and 2,683.20 is: 4,025.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.20 : 10,266.30 = 2,683.20 : x
  2. Step 2: Convert to fraction form
    6,843.20/10,266.30 = 2,683.20/x
  3. Step 3: Cross multiply
    6,843.20x = 10,266.30 × 2,683.20
  4. Step 4: Simplify right side
    6,843.20x = 27,546,536.16
  5. Step 5: Solve for x
    x = 27,546,536.16/6,843.20
  6. Step 6: Final answer
    x = 4,025.39

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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.