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Finding the Fourth Proportional to 11,794.86, 17,694.45 and 4,865.58

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Solution

The fourth proportional to 11,794.86, 17,694.45 and 4,865.58 is: 7,299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.86 : 17,694.45 = 4,865.58 : x
  2. Step 2: Convert to fraction form
    11,794.86/17,694.45 = 4,865.58/x
  3. Step 3: Cross multiply
    11,794.86x = 17,694.45 × 4,865.58
  4. Step 4: Simplify right side
    11,794.86x = 86,093,762.03
  5. Step 5: Solve for x
    x = 86,093,762.03/11,794.86
  6. Step 6: Final answer
    x = 7,299.26

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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.