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Finding the Fourth Proportional to 8,206.50, 12,299.48 and 3,520.98

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Solution

The fourth proportional to 8,206.50, 12,299.48 and 3,520.98 is: 5,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.50 : 12,299.48 = 3,520.98 : x
  2. Step 2: Convert to fraction form
    8,206.50/12,299.48 = 3,520.98/x
  3. Step 3: Cross multiply
    8,206.50x = 12,299.48 × 3,520.98
  4. Step 4: Simplify right side
    8,206.50x = 43,306,223.09
  5. Step 5: Solve for x
    x = 43,306,223.09/8,206.50
  6. Step 6: Final answer
    x = 5,277.06

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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.