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Finding the Fourth Proportional to 11,942, 17,913.08 and 3,734

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Solution

The fourth proportional to 11,942, 17,913.08 and 3,734 is: 5,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942 : 17,913.08 = 3,734 : x
  2. Step 2: Convert to fraction form
    11,942/17,913.08 = 3,734/x
  3. Step 3: Cross multiply
    11,942x = 17,913.08 × 3,734
  4. Step 4: Simplify right side
    11,942x = 66,887,440.72
  5. Step 5: Solve for x
    x = 66,887,440.72/11,942
  6. Step 6: Final answer
    x = 5,601.03

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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.