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Finding the Fourth Proportional to 11,908.54, 17,862.54 and 3,144.07

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Solution

The fourth proportional to 11,908.54, 17,862.54 and 3,144.07 is: 4,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.54 : 17,862.54 = 3,144.07 : x
  2. Step 2: Convert to fraction form
    11,908.54/17,862.54 = 3,144.07/x
  3. Step 3: Cross multiply
    11,908.54x = 17,862.54 × 3,144.07
  4. Step 4: Simplify right side
    11,908.54x = 56,161,076.14
  5. Step 5: Solve for x
    x = 56,161,076.14/11,908.54
  6. Step 6: Final answer
    x = 4,716.03

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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.