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Finding the Fourth Proportional to 8,263.20, 12,397.83 and 3,822.99

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Solution

The fourth proportional to 8,263.20, 12,397.83 and 3,822.99 is: 5,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,263.20 : 12,397.83 = 3,822.99 : x
  2. Step 2: Convert to fraction form
    8,263.20/12,397.83 = 3,822.99/x
  3. Step 3: Cross multiply
    8,263.20x = 12,397.83 × 3,822.99
  4. Step 4: Simplify right side
    8,263.20x = 47,396,780.11
  5. Step 5: Solve for x
    x = 47,396,780.11/8,263.20
  6. Step 6: Final answer
    x = 5,735.89

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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.