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Finding the Fourth Proportional to 11,546, 17,321.88 and 3,338

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Solution

The fourth proportional to 11,546, 17,321.88 and 3,338 is: 5,007.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546 : 17,321.88 = 3,338 : x
  2. Step 2: Convert to fraction form
    11,546/17,321.88 = 3,338/x
  3. Step 3: Cross multiply
    11,546x = 17,321.88 × 3,338
  4. Step 4: Simplify right side
    11,546x = 57,820,435.44
  5. Step 5: Solve for x
    x = 57,820,435.44/11,546
  6. Step 6: Final answer
    x = 5,007.83

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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.