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Finding the Fourth Proportional to 8,212.83, 12,325.26 and 3,283.92

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Solution

The fourth proportional to 8,212.83, 12,325.26 and 3,283.92 is: 4,928.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.83 : 12,325.26 = 3,283.92 : x
  2. Step 2: Convert to fraction form
    8,212.83/12,325.26 = 3,283.92/x
  3. Step 3: Cross multiply
    8,212.83x = 12,325.26 × 3,283.92
  4. Step 4: Simplify right side
    8,212.83x = 40,475,167.82
  5. Step 5: Solve for x
    x = 40,475,167.82/8,212.83
  6. Step 6: Final answer
    x = 4,928.29

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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.