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Finding the Fourth Proportional to 11,874.98, 17,806.44 and 3,974.69

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Solution

The fourth proportional to 11,874.98, 17,806.44 and 3,974.69 is: 5,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.98 : 17,806.44 = 3,974.69 : x
  2. Step 2: Convert to fraction form
    11,874.98/17,806.44 = 3,974.69/x
  3. Step 3: Cross multiply
    11,874.98x = 17,806.44 × 3,974.69
  4. Step 4: Simplify right side
    11,874.98x = 70,775,079.00
  5. Step 5: Solve for x
    x = 70,775,079.00/11,874.98
  6. Step 6: Final answer
    x = 5,960.02

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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.