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Finding the Fourth Proportional to 11,216, 16,824 and 3,008

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Solution

The fourth proportional to 11,216, 16,824 and 3,008 is: 4,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216 : 16,824 = 3,008 : x
  2. Step 2: Convert to fraction form
    11,216/16,824 = 3,008/x
  3. Step 3: Cross multiply
    11,216x = 16,824 × 3,008
  4. Step 4: Simplify right side
    11,216x = 50,606,592
  5. Step 5: Solve for x
    x = 50,606,592/11,216
  6. Step 6: Final answer
    x = 4,512

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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.