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Finding the Fourth Proportional to 8,305.20, 12,441.87 and 5,523.48

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Solution

The fourth proportional to 8,305.20, 12,441.87 and 5,523.48 is: 8,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.20 : 12,441.87 = 5,523.48 : x
  2. Step 2: Convert to fraction form
    8,305.20/12,441.87 = 5,523.48/x
  3. Step 3: Cross multiply
    8,305.20x = 12,441.87 × 5,523.48
  4. Step 4: Simplify right side
    8,305.20x = 68,722,420.11
  5. Step 5: Solve for x
    x = 68,722,420.11/8,305.20
  6. Step 6: Final answer
    x = 8,274.63

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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.