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Finding the Fourth Proportional to 11,794.86, 17,695.62 and 4,004.28

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Solution

The fourth proportional to 11,794.86, 17,695.62 and 4,004.28 is: 6,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.86 : 17,695.62 = 4,004.28 : x
  2. Step 2: Convert to fraction form
    11,794.86/17,695.62 = 4,004.28/x
  3. Step 3: Cross multiply
    11,794.86x = 17,695.62 × 4,004.28
  4. Step 4: Simplify right side
    11,794.86x = 70,858,217.25
  5. Step 5: Solve for x
    x = 70,858,217.25/11,794.86
  6. Step 6: Final answer
    x = 6,007.55

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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.