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Finding the Fourth Proportional to 6,800.81, 10,201.20 and 2,418.44

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Solution

The fourth proportional to 6,800.81, 10,201.20 and 2,418.44 is: 3,627.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.81 : 10,201.20 = 2,418.44 : x
  2. Step 2: Convert to fraction form
    6,800.81/10,201.20 = 2,418.44/x
  3. Step 3: Cross multiply
    6,800.81x = 10,201.20 × 2,418.44
  4. Step 4: Simplify right side
    6,800.81x = 24,670,990.13
  5. Step 5: Solve for x
    x = 24,670,990.13/6,800.81
  6. Step 6: Final answer
    x = 3,627.65

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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.