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Finding the Fourth Proportional to 8,215.20, 12,322.80 and 3,833.10

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Solution

The fourth proportional to 8,215.20, 12,322.80 and 3,833.10 is: 5,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.20 : 12,322.80 = 3,833.10 : x
  2. Step 2: Convert to fraction form
    8,215.20/12,322.80 = 3,833.10/x
  3. Step 3: Cross multiply
    8,215.20x = 12,322.80 × 3,833.10
  4. Step 4: Simplify right side
    8,215.20x = 47,234,524.68
  5. Step 5: Solve for x
    x = 47,234,524.68/8,215.20
  6. Step 6: Final answer
    x = 5,749.65

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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.