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Finding the Fourth Proportional to 11,718.66, 16,171.76 and 6,413.49

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Solution

The fourth proportional to 11,718.66, 16,171.76 and 6,413.49 is: 8,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.66 : 16,171.76 = 6,413.49 : x
  2. Step 2: Convert to fraction form
    11,718.66/16,171.76 = 6,413.49/x
  3. Step 3: Cross multiply
    11,718.66x = 16,171.76 × 6,413.49
  4. Step 4: Simplify right side
    11,718.66x = 103,717,437.08
  5. Step 5: Solve for x
    x = 103,717,437.08/11,718.66
  6. Step 6: Final answer
    x = 8,850.62

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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.