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Finding the Fourth Proportional to 8,220.72, 12,336.72 and 3,838.68

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Solution

The fourth proportional to 8,220.72, 12,336.72 and 3,838.68 is: 5,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.72 : 12,336.72 = 3,838.68 : x
  2. Step 2: Convert to fraction form
    8,220.72/12,336.72 = 3,838.68/x
  3. Step 3: Cross multiply
    8,220.72x = 12,336.72 × 3,838.68
  4. Step 4: Simplify right side
    8,220.72x = 47,356,720.33
  5. Step 5: Solve for x
    x = 47,356,720.33/8,220.72
  6. Step 6: Final answer
    x = 5,760.65

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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.