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Finding the Fourth Proportional to 10,940.88, 16,413.72 and 3,546.08

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Solution

The fourth proportional to 10,940.88, 16,413.72 and 3,546.08 is: 5,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.88 : 16,413.72 = 3,546.08 : x
  2. Step 2: Convert to fraction form
    10,940.88/16,413.72 = 3,546.08/x
  3. Step 3: Cross multiply
    10,940.88x = 16,413.72 × 3,546.08
  4. Step 4: Simplify right side
    10,940.88x = 58,204,364.22
  5. Step 5: Solve for x
    x = 58,204,364.22/10,940.88
  6. Step 6: Final answer
    x = 5,319.90

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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.