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Finding the Fourth Proportional to 8,441.28, 12,658.25 and 3,243.50

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Solution

The fourth proportional to 8,441.28, 12,658.25 and 3,243.50 is: 4,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.28 : 12,658.25 = 3,243.50 : x
  2. Step 2: Convert to fraction form
    8,441.28/12,658.25 = 3,243.50/x
  3. Step 3: Cross multiply
    8,441.28x = 12,658.25 × 3,243.50
  4. Step 4: Simplify right side
    8,441.28x = 41,057,033.88
  5. Step 5: Solve for x
    x = 41,057,033.88/8,441.28
  6. Step 6: Final answer
    x = 4,863.84

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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.