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Finding the Fourth Proportional to 6,806.48, 10,209.78 and 4,481.24

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Solution

The fourth proportional to 6,806.48, 10,209.78 and 4,481.24 is: 6,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.48 : 10,209.78 = 4,481.24 : x
  2. Step 2: Convert to fraction form
    6,806.48/10,209.78 = 4,481.24/x
  3. Step 3: Cross multiply
    6,806.48x = 10,209.78 × 4,481.24
  4. Step 4: Simplify right side
    6,806.48x = 45,752,423.48
  5. Step 5: Solve for x
    x = 45,752,423.48/6,806.48
  6. Step 6: Final answer
    x = 6,721.90

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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.