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Finding the Fourth Proportional to 11,950, 17,931.48 and 5,794

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Solution

The fourth proportional to 11,950, 17,931.48 and 5,794 is: 8,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,950 : 17,931.48 = 5,794 : x
  2. Step 2: Convert to fraction form
    11,950/17,931.48 = 5,794/x
  3. Step 3: Cross multiply
    11,950x = 17,931.48 × 5,794
  4. Step 4: Simplify right side
    11,950x = 103,894,995.12
  5. Step 5: Solve for x
    x = 103,894,995.12/11,950
  6. Step 6: Final answer
    x = 8,694.14

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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.