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Finding the Fourth Proportional to 6,902.20, 10,364.10 and 3,986.20

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Solution

The fourth proportional to 6,902.20, 10,364.10 and 3,986.20 is: 5,985.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.20 : 10,364.10 = 3,986.20 : x
  2. Step 2: Convert to fraction form
    6,902.20/10,364.10 = 3,986.20/x
  3. Step 3: Cross multiply
    6,902.20x = 10,364.10 × 3,986.20
  4. Step 4: Simplify right side
    6,902.20x = 41,313,375.42
  5. Step 5: Solve for x
    x = 41,313,375.42/6,902.20
  6. Step 6: Final answer
    x = 5,985.54

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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.