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Finding the Fourth Proportional to 11,416, 17,124 and 3,208

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Solution

The fourth proportional to 11,416, 17,124 and 3,208 is: 4,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416 : 17,124 = 3,208 : x
  2. Step 2: Convert to fraction form
    11,416/17,124 = 3,208/x
  3. Step 3: Cross multiply
    11,416x = 17,124 × 3,208
  4. Step 4: Simplify right side
    11,416x = 54,933,792
  5. Step 5: Solve for x
    x = 54,933,792/11,416
  6. Step 6: Final answer
    x = 4,812

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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.