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Finding the Fourth Proportional to 11,792.72, 17,685.33 and 3,893.77

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Solution

The fourth proportional to 11,792.72, 17,685.33 and 3,893.77 is: 5,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.72 : 17,685.33 = 3,893.77 : x
  2. Step 2: Convert to fraction form
    11,792.72/17,685.33 = 3,893.77/x
  3. Step 3: Cross multiply
    11,792.72x = 17,685.33 × 3,893.77
  4. Step 4: Simplify right side
    11,792.72x = 68,862,499.50
  5. Step 5: Solve for x
    x = 68,862,499.50/11,792.72
  6. Step 6: Final answer
    x = 5,839.41

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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.