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Finding the Fourth Proportional to 11,794.94, 17,686.72 and 6,865.68

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Solution

The fourth proportional to 11,794.94, 17,686.72 and 6,865.68 is: 10,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.94 : 17,686.72 = 6,865.68 : x
  2. Step 2: Convert to fraction form
    11,794.94/17,686.72 = 6,865.68/x
  3. Step 3: Cross multiply
    11,794.94x = 17,686.72 × 6,865.68
  4. Step 4: Simplify right side
    11,794.94x = 121,431,359.77
  5. Step 5: Solve for x
    x = 121,431,359.77/11,794.94
  6. Step 6: Final answer
    x = 10,295.21

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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.