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Finding the Fourth Proportional to 11,383, 17,074.68 and 3,175

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Solution

The fourth proportional to 11,383, 17,074.68 and 3,175 is: 4,762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383 : 17,074.68 = 3,175 : x
  2. Step 2: Convert to fraction form
    11,383/17,074.68 = 3,175/x
  3. Step 3: Cross multiply
    11,383x = 17,074.68 × 3,175
  4. Step 4: Simplify right side
    11,383x = 54,212,109
  5. Step 5: Solve for x
    x = 54,212,109/11,383
  6. Step 6: Final answer
    x = 4,762.55

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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.