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Finding the Fourth Proportional to 11,718.39, 16,171.32 and 6,413.16

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Solution

The fourth proportional to 11,718.39, 16,171.32 and 6,413.16 is: 8,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.39 : 16,171.32 = 6,413.16 : x
  2. Step 2: Convert to fraction form
    11,718.39/16,171.32 = 6,413.16/x
  3. Step 3: Cross multiply
    11,718.39x = 16,171.32 × 6,413.16
  4. Step 4: Simplify right side
    11,718.39x = 103,709,262.57
  5. Step 5: Solve for x
    x = 103,709,262.57/11,718.39
  6. Step 6: Final answer
    x = 8,850.13

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Why These Related Problems?

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