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Finding the Fourth Proportional to 6,806.56, 10,211.42 and 2,911.24

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Solution

The fourth proportional to 6,806.56, 10,211.42 and 2,911.24 is: 4,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.56 : 10,211.42 = 2,911.24 : x
  2. Step 2: Convert to fraction form
    6,806.56/10,211.42 = 2,911.24/x
  3. Step 3: Cross multiply
    6,806.56x = 10,211.42 × 2,911.24
  4. Step 4: Simplify right side
    6,806.56x = 29,727,894.36
  5. Step 5: Solve for x
    x = 29,727,894.36/6,806.56
  6. Step 6: Final answer
    x = 4,367.54

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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.