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Finding the Fourth Proportional to 8,224.24, 12,337.20 and 3,293.20

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Solution

The fourth proportional to 8,224.24, 12,337.20 and 3,293.20 is: 4,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.24 : 12,337.20 = 3,293.20 : x
  2. Step 2: Convert to fraction form
    8,224.24/12,337.20 = 3,293.20/x
  3. Step 3: Cross multiply
    8,224.24x = 12,337.20 × 3,293.20
  4. Step 4: Simplify right side
    8,224.24x = 40,628,867.04
  5. Step 5: Solve for x
    x = 40,628,867.04/8,224.24
  6. Step 6: Final answer
    x = 4,940.14

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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.