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Finding the Fourth Proportional to 11,718.70, 16,171.83 and 6,413.56

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Solution

The fourth proportional to 11,718.70, 16,171.83 and 6,413.56 is: 8,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.70 : 16,171.83 = 6,413.56 : x
  2. Step 2: Convert to fraction form
    11,718.70/16,171.83 = 6,413.56/x
  3. Step 3: Cross multiply
    11,718.70x = 16,171.83 × 6,413.56
  4. Step 4: Simplify right side
    11,718.70x = 103,719,002.01
  5. Step 5: Solve for x
    x = 103,719,002.01/11,718.70
  6. Step 6: Final answer
    x = 8,850.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.