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Finding the Fourth Proportional to 11,794.43, 17,693.38 and 3,897.77

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Solution

The fourth proportional to 11,794.43, 17,693.38 and 3,897.77 is: 5,847.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.43 : 17,693.38 = 3,897.77 : x
  2. Step 2: Convert to fraction form
    11,794.43/17,693.38 = 3,897.77/x
  3. Step 3: Cross multiply
    11,794.43x = 17,693.38 × 3,897.77
  4. Step 4: Simplify right side
    11,794.43x = 68,964,725.76
  5. Step 5: Solve for x
    x = 68,964,725.76/11,794.43
  6. Step 6: Final answer
    x = 5,847.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.