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Finding the Fourth Proportional to 11,906.51, 16,413.98 and 8,548.25

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Solution

The fourth proportional to 11,906.51, 16,413.98 and 8,548.25 is: 11,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.51 : 16,413.98 = 8,548.25 : x
  2. Step 2: Convert to fraction form
    11,906.51/16,413.98 = 8,548.25/x
  3. Step 3: Cross multiply
    11,906.51x = 16,413.98 × 8,548.25
  4. Step 4: Simplify right side
    11,906.51x = 140,310,679.72
  5. Step 5: Solve for x
    x = 140,310,679.72/11,906.51
  6. Step 6: Final answer
    x = 11,784.37

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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.