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Finding the Fourth Proportional to 6,810.20, 10,212.90 and 2,427.80

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Solution

The fourth proportional to 6,810.20, 10,212.90 and 2,427.80 is: 3,640.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.20 : 10,212.90 = 2,427.80 : x
  2. Step 2: Convert to fraction form
    6,810.20/10,212.90 = 2,427.80/x
  3. Step 3: Cross multiply
    6,810.20x = 10,212.90 × 2,427.80
  4. Step 4: Simplify right side
    6,810.20x = 24,794,878.62
  5. Step 5: Solve for x
    x = 24,794,878.62/6,810.20
  6. Step 6: Final answer
    x = 3,640.84

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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.