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Finding the Fourth Proportional to 6,806.50, 10,211.60 and 2,646.68

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Solution

The fourth proportional to 6,806.50, 10,211.60 and 2,646.68 is: 3,970.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.50 : 10,211.60 = 2,646.68 : x
  2. Step 2: Convert to fraction form
    6,806.50/10,211.60 = 2,646.68/x
  3. Step 3: Cross multiply
    6,806.50x = 10,211.60 × 2,646.68
  4. Step 4: Simplify right side
    6,806.50x = 27,026,793.05
  5. Step 5: Solve for x
    x = 27,026,793.05/6,806.50
  6. Step 6: Final answer
    x = 3,970.73

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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.