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Finding the Fourth Proportional to 11,610.97, 17,411.13 and 3,711.95

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Solution

The fourth proportional to 11,610.97, 17,411.13 and 3,711.95 is: 5,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.97 : 17,411.13 = 3,711.95 : x
  2. Step 2: Convert to fraction form
    11,610.97/17,411.13 = 3,711.95/x
  3. Step 3: Cross multiply
    11,610.97x = 17,411.13 × 3,711.95
  4. Step 4: Simplify right side
    11,610.97x = 64,629,138.39
  5. Step 5: Solve for x
    x = 64,629,138.39/11,610.97
  6. Step 6: Final answer
    x = 5,566.22

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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.