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Finding the Fourth Proportional to 6,797.12, 10,193.76 and 2,412.20

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Solution

The fourth proportional to 6,797.12, 10,193.76 and 2,412.20 is: 3,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.12 : 10,193.76 = 2,412.20 : x
  2. Step 2: Convert to fraction form
    6,797.12/10,193.76 = 2,412.20/x
  3. Step 3: Cross multiply
    6,797.12x = 10,193.76 × 2,412.20
  4. Step 4: Simplify right side
    6,797.12x = 24,589,387.87
  5. Step 5: Solve for x
    x = 24,589,387.87/6,797.12
  6. Step 6: Final answer
    x = 3,617.62

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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.