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Finding the Fourth Proportional to 8,474, 12,711.44 and 3,208.48

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Solution

The fourth proportional to 8,474, 12,711.44 and 3,208.48 is: 4,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474 : 12,711.44 = 3,208.48 : x
  2. Step 2: Convert to fraction form
    8,474/12,711.44 = 3,208.48/x
  3. Step 3: Cross multiply
    8,474x = 12,711.44 × 3,208.48
  4. Step 4: Simplify right side
    8,474x = 40,784,401.01
  5. Step 5: Solve for x
    x = 40,784,401.01/8,474
  6. Step 6: Final answer
    x = 4,812.89

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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.