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Finding the Fourth Proportional to 8,225.57, 12,338.40 and 3,293.84

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Solution

The fourth proportional to 8,225.57, 12,338.40 and 3,293.84 is: 4,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.57 : 12,338.40 = 3,293.84 : x
  2. Step 2: Convert to fraction form
    8,225.57/12,338.40 = 3,293.84/x
  3. Step 3: Cross multiply
    8,225.57x = 12,338.40 × 3,293.84
  4. Step 4: Simplify right side
    8,225.57x = 40,640,715.46
  5. Step 5: Solve for x
    x = 40,640,715.46/8,225.57
  6. Step 6: Final answer
    x = 4,940.78

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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.