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Finding the Fourth Proportional to 11,200, 16,800 and 2,992

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Solution

The fourth proportional to 11,200, 16,800 and 2,992 is: 4,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200 : 16,800 = 2,992 : x
  2. Step 2: Convert to fraction form
    11,200/16,800 = 2,992/x
  3. Step 3: Cross multiply
    11,200x = 16,800 × 2,992
  4. Step 4: Simplify right side
    11,200x = 50,265,600
  5. Step 5: Solve for x
    x = 50,265,600/11,200
  6. Step 6: Final answer
    x = 4,488

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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.