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Finding the Fourth Proportional to 6,944.19, 10,413.49 and 2,560.68

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Solution

The fourth proportional to 6,944.19, 10,413.49 and 2,560.68 is: 3,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.19 : 10,413.49 = 2,560.68 : x
  2. Step 2: Convert to fraction form
    6,944.19/10,413.49 = 2,560.68/x
  3. Step 3: Cross multiply
    6,944.19x = 10,413.49 × 2,560.68
  4. Step 4: Simplify right side
    6,944.19x = 26,665,615.57
  5. Step 5: Solve for x
    x = 26,665,615.57/6,944.19
  6. Step 6: Final answer
    x = 3,839.99

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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.