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Finding the Fourth Proportional to 6,801.09, 10,200.67 and 2,183.49

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Solution

The fourth proportional to 6,801.09, 10,200.67 and 2,183.49 is: 3,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.09 : 10,200.67 = 2,183.49 : x
  2. Step 2: Convert to fraction form
    6,801.09/10,200.67 = 2,183.49/x
  3. Step 3: Cross multiply
    6,801.09x = 10,200.67 × 2,183.49
  4. Step 4: Simplify right side
    6,801.09x = 22,273,060.94
  5. Step 5: Solve for x
    x = 22,273,060.94/6,801.09
  6. Step 6: Final answer
    x = 3,274.93

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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.