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Finding the Fourth Proportional to 11,792.73, 17,683 and 3,471.67

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Solution

The fourth proportional to 11,792.73, 17,683 and 3,471.67 is: 5,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.73 : 17,683 = 3,471.67 : x
  2. Step 2: Convert to fraction form
    11,792.73/17,683 = 3,471.67/x
  3. Step 3: Cross multiply
    11,792.73x = 17,683 × 3,471.67
  4. Step 4: Simplify right side
    11,792.73x = 61,389,540.61
  5. Step 5: Solve for x
    x = 61,389,540.61/11,792.73
  6. Step 6: Final answer
    x = 5,205.71

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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.