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Finding the Fourth Proportional to 6,940.80, 10,413.60 and 3,044.64

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Solution

The fourth proportional to 6,940.80, 10,413.60 and 3,044.64 is: 4,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.80 : 10,413.60 = 3,044.64 : x
  2. Step 2: Convert to fraction form
    6,940.80/10,413.60 = 3,044.64/x
  3. Step 3: Cross multiply
    6,940.80x = 10,413.60 × 3,044.64
  4. Step 4: Simplify right side
    6,940.80x = 31,705,663.10
  5. Step 5: Solve for x
    x = 31,705,663.10/6,940.80
  6. Step 6: Final answer
    x = 4,568.01

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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.