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Finding the Fourth Proportional to 11,652, 17,480.96 and 3,444

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Solution

The fourth proportional to 11,652, 17,480.96 and 3,444 is: 5,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652 : 17,480.96 = 3,444 : x
  2. Step 2: Convert to fraction form
    11,652/17,480.96 = 3,444/x
  3. Step 3: Cross multiply
    11,652x = 17,480.96 × 3,444
  4. Step 4: Simplify right side
    11,652x = 60,204,426.24
  5. Step 5: Solve for x
    x = 60,204,426.24/11,652
  6. Step 6: Final answer
    x = 5,166.87

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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.