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Finding the Fourth Proportional to 6,806.96, 10,202.24 and 3,518.28

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Solution

The fourth proportional to 6,806.96, 10,202.24 and 3,518.28 is: 5,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.96 : 10,202.24 = 3,518.28 : x
  2. Step 2: Convert to fraction form
    6,806.96/10,202.24 = 3,518.28/x
  3. Step 3: Cross multiply
    6,806.96x = 10,202.24 × 3,518.28
  4. Step 4: Simplify right side
    6,806.96x = 35,894,336.95
  5. Step 5: Solve for x
    x = 35,894,336.95/6,806.96
  6. Step 6: Final answer
    x = 5,273.18

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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.