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Finding the Fourth Proportional to 11,201.46, 16,806.96 and 4,274.34

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Solution

The fourth proportional to 11,201.46, 16,806.96 and 4,274.34 is: 6,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.46 : 16,806.96 = 4,274.34 : x
  2. Step 2: Convert to fraction form
    11,201.46/16,806.96 = 4,274.34/x
  3. Step 3: Cross multiply
    11,201.46x = 16,806.96 × 4,274.34
  4. Step 4: Simplify right side
    11,201.46x = 71,838,661.41
  5. Step 5: Solve for x
    x = 71,838,661.41/11,201.46
  6. Step 6: Final answer
    x = 6,413.33

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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.