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Finding the Fourth Proportional to 11,792.37, 17,684.81 and 3,893.42

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Solution

The fourth proportional to 11,792.37, 17,684.81 and 3,893.42 is: 5,838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.37 : 17,684.81 = 3,893.42 : x
  2. Step 2: Convert to fraction form
    11,792.37/17,684.81 = 3,893.42/x
  3. Step 3: Cross multiply
    11,792.37x = 17,684.81 × 3,893.42
  4. Step 4: Simplify right side
    11,792.37x = 68,854,392.95
  5. Step 5: Solve for x
    x = 68,854,392.95/11,792.37
  6. Step 6: Final answer
    x = 5,838.89

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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.