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Finding the Fourth Proportional to 11,718.33, 16,171.67 and 6,413.14

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Solution

The fourth proportional to 11,718.33, 16,171.67 and 6,413.14 is: 8,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.33 : 16,171.67 = 6,413.14 : x
  2. Step 2: Convert to fraction form
    11,718.33/16,171.67 = 6,413.14/x
  3. Step 3: Cross multiply
    11,718.33x = 16,171.67 × 6,413.14
  4. Step 4: Simplify right side
    11,718.33x = 103,711,070.82
  5. Step 5: Solve for x
    x = 103,711,070.82/11,718.33
  6. Step 6: Final answer
    x = 8,850.33

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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.