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Finding the Fourth Proportional to 8,936.50, 12,332.38 and 5,211.22

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Solution

The fourth proportional to 8,936.50, 12,332.38 and 5,211.22 is: 7,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936.50 : 12,332.38 = 5,211.22 : x
  2. Step 2: Convert to fraction form
    8,936.50/12,332.38 = 5,211.22/x
  3. Step 3: Cross multiply
    8,936.50x = 12,332.38 × 5,211.22
  4. Step 4: Simplify right side
    8,936.50x = 64,266,745.30
  5. Step 5: Solve for x
    x = 64,266,745.30/8,936.50
  6. Step 6: Final answer
    x = 7,191.49

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Why These Related Problems?

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