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Finding the Fourth Proportional to 6,835.20, 10,252.08 and 2,218.20

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Solution

The fourth proportional to 6,835.20, 10,252.08 and 2,218.20 is: 3,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.20 : 10,252.08 = 2,218.20 : x
  2. Step 2: Convert to fraction form
    6,835.20/10,252.08 = 2,218.20/x
  3. Step 3: Cross multiply
    6,835.20x = 10,252.08 × 2,218.20
  4. Step 4: Simplify right side
    6,835.20x = 22,741,163.86
  5. Step 5: Solve for x
    x = 22,741,163.86/6,835.20
  6. Step 6: Final answer
    x = 3,327.07

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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.