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Finding the Fourth Proportional to 8,215.50, 12,306.96 and 3,826.92

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Solution

The fourth proportional to 8,215.50, 12,306.96 and 3,826.92 is: 5,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.50 : 12,306.96 = 3,826.92 : x
  2. Step 2: Convert to fraction form
    8,215.50/12,306.96 = 3,826.92/x
  3. Step 3: Cross multiply
    8,215.50x = 12,306.96 × 3,826.92
  4. Step 4: Simplify right side
    8,215.50x = 47,097,751.36
  5. Step 5: Solve for x
    x = 47,097,751.36/8,215.50
  6. Step 6: Final answer
    x = 5,732.79

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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.