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Finding the Fourth Proportional to 8,218.44, 12,321.50 and 2,668.46

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Solution

The fourth proportional to 8,218.44, 12,321.50 and 2,668.46 is: 4,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.44 : 12,321.50 = 2,668.46 : x
  2. Step 2: Convert to fraction form
    8,218.44/12,321.50 = 2,668.46/x
  3. Step 3: Cross multiply
    8,218.44x = 12,321.50 × 2,668.46
  4. Step 4: Simplify right side
    8,218.44x = 32,879,429.89
  5. Step 5: Solve for x
    x = 32,879,429.89/8,218.44
  6. Step 6: Final answer
    x = 4,000.69

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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.