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Finding the Fourth Proportional to 8,433.50, 12,647.50 and 3,990.46

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Solution

The fourth proportional to 8,433.50, 12,647.50 and 3,990.46 is: 5,984.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,433.50 : 12,647.50 = 3,990.46 : x
  2. Step 2: Convert to fraction form
    8,433.50/12,647.50 = 3,990.46/x
  3. Step 3: Cross multiply
    8,433.50x = 12,647.50 × 3,990.46
  4. Step 4: Simplify right side
    8,433.50x = 50,469,342.85
  5. Step 5: Solve for x
    x = 50,469,342.85/8,433.50
  6. Step 6: Final answer
    x = 5,984.39

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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.