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Finding the Fourth Proportional to 8,156.50, 12,234.78 and 3,227.31

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Solution

The fourth proportional to 8,156.50, 12,234.78 and 3,227.31 is: 4,840.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.50 : 12,234.78 = 3,227.31 : x
  2. Step 2: Convert to fraction form
    8,156.50/12,234.78 = 3,227.31/x
  3. Step 3: Cross multiply
    8,156.50x = 12,234.78 × 3,227.31
  4. Step 4: Simplify right side
    8,156.50x = 39,485,427.84
  5. Step 5: Solve for x
    x = 39,485,427.84/8,156.50
  6. Step 6: Final answer
    x = 4,840.98

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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.