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Finding the Fourth Proportional to 8,213.40, 12,319.02 and 3,285.90

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Solution

The fourth proportional to 8,213.40, 12,319.02 and 3,285.90 is: 4,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.40 : 12,319.02 = 3,285.90 : x
  2. Step 2: Convert to fraction form
    8,213.40/12,319.02 = 3,285.90/x
  3. Step 3: Cross multiply
    8,213.40x = 12,319.02 × 3,285.90
  4. Step 4: Simplify right side
    8,213.40x = 40,479,067.82
  5. Step 5: Solve for x
    x = 40,479,067.82/8,213.40
  6. Step 6: Final answer
    x = 4,928.42

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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.