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Finding the Fourth Proportional to 8,633.50, 11,908.23 and 5,229.41

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Solution

The fourth proportional to 8,633.50, 11,908.23 and 5,229.41 is: 7,212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.50 : 11,908.23 = 5,229.41 : x
  2. Step 2: Convert to fraction form
    8,633.50/11,908.23 = 5,229.41/x
  3. Step 3: Cross multiply
    8,633.50x = 11,908.23 × 5,229.41
  4. Step 4: Simplify right side
    8,633.50x = 62,273,017.04
  5. Step 5: Solve for x
    x = 62,273,017.04/8,633.50
  6. Step 6: Final answer
    x = 7,212.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.