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Finding the Fourth Proportional to 6,816.96, 10,229.76 and 3,900.96

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Solution

The fourth proportional to 6,816.96, 10,229.76 and 3,900.96 is: 5,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.96 : 10,229.76 = 3,900.96 : x
  2. Step 2: Convert to fraction form
    6,816.96/10,229.76 = 3,900.96/x
  3. Step 3: Cross multiply
    6,816.96x = 10,229.76 × 3,900.96
  4. Step 4: Simplify right side
    6,816.96x = 39,905,884.57
  5. Step 5: Solve for x
    x = 39,905,884.57/6,816.96
  6. Step 6: Final answer
    x = 5,853.91

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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.