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Finding the Fourth Proportional to 11,717.88, 16,171.08 and 6,413.04

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Solution

The fourth proportional to 11,717.88, 16,171.08 and 6,413.04 is: 8,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717.88 : 16,171.08 = 6,413.04 : x
  2. Step 2: Convert to fraction form
    11,717.88/16,171.08 = 6,413.04/x
  3. Step 3: Cross multiply
    11,717.88x = 16,171.08 × 6,413.04
  4. Step 4: Simplify right side
    11,717.88x = 103,705,782.88
  5. Step 5: Solve for x
    x = 103,705,782.88/11,717.88
  6. Step 6: Final answer
    x = 8,850.22

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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.