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Finding the Fourth Proportional to 8,220.96, 12,337.92 and 3,840.48

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Solution

The fourth proportional to 8,220.96, 12,337.92 and 3,840.48 is: 5,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.96 : 12,337.92 = 3,840.48 : x
  2. Step 2: Convert to fraction form
    8,220.96/12,337.92 = 3,840.48/x
  3. Step 3: Cross multiply
    8,220.96x = 12,337.92 × 3,840.48
  4. Step 4: Simplify right side
    8,220.96x = 47,383,535.00
  5. Step 5: Solve for x
    x = 47,383,535.00/8,220.96
  6. Step 6: Final answer
    x = 5,763.75

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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.