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Finding the Fourth Proportional to 11,894.39, 16,413.42 and 6,588.75

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Solution

The fourth proportional to 11,894.39, 16,413.42 and 6,588.75 is: 9,092.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.39 : 16,413.42 = 6,588.75 : x
  2. Step 2: Convert to fraction form
    11,894.39/16,413.42 = 6,588.75/x
  3. Step 3: Cross multiply
    11,894.39x = 16,413.42 × 6,588.75
  4. Step 4: Simplify right side
    11,894.39x = 108,143,921.03
  5. Step 5: Solve for x
    x = 108,143,921.03/11,894.39
  6. Step 6: Final answer
    x = 9,092.01

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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.