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Finding the Fourth Proportional to 8,224.50, 12,337.37 and 2,677.43

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Solution

The fourth proportional to 8,224.50, 12,337.37 and 2,677.43 is: 4,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.50 : 12,337.37 = 2,677.43 : x
  2. Step 2: Convert to fraction form
    8,224.50/12,337.37 = 2,677.43/x
  3. Step 3: Cross multiply
    8,224.50x = 12,337.37 × 2,677.43
  4. Step 4: Simplify right side
    8,224.50x = 33,032,369.49
  5. Step 5: Solve for x
    x = 33,032,369.49/8,224.50
  6. Step 6: Final answer
    x = 4,016.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.