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Finding the Fourth Proportional to 11,552, 17,328 and 3,344

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Solution

The fourth proportional to 11,552, 17,328 and 3,344 is: 5,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552 : 17,328 = 3,344 : x
  2. Step 2: Convert to fraction form
    11,552/17,328 = 3,344/x
  3. Step 3: Cross multiply
    11,552x = 17,328 × 3,344
  4. Step 4: Simplify right side
    11,552x = 57,944,832
  5. Step 5: Solve for x
    x = 57,944,832/11,552
  6. Step 6: Final answer
    x = 5,016

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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.