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Finding the Fourth Proportional to 8,198.24, 12,294.95 and 3,199.50

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Solution

The fourth proportional to 8,198.24, 12,294.95 and 3,199.50 is: 4,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.24 : 12,294.95 = 3,199.50 : x
  2. Step 2: Convert to fraction form
    8,198.24/12,294.95 = 3,199.50/x
  3. Step 3: Cross multiply
    8,198.24x = 12,294.95 × 3,199.50
  4. Step 4: Simplify right side
    8,198.24x = 39,337,676.53
  5. Step 5: Solve for x
    x = 39,337,676.53/8,198.24
  6. Step 6: Final answer
    x = 4,798.31

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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.