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Finding the Fourth Proportional to 11,859.18, 16,364.60 and 6,822.06

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Solution

The fourth proportional to 11,859.18, 16,364.60 and 6,822.06 is: 9,413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.18 : 16,364.60 = 6,822.06 : x
  2. Step 2: Convert to fraction form
    11,859.18/16,364.60 = 6,822.06/x
  3. Step 3: Cross multiply
    11,859.18x = 16,364.60 × 6,822.06
  4. Step 4: Simplify right side
    11,859.18x = 111,640,283.08
  5. Step 5: Solve for x
    x = 111,640,283.08/11,859.18
  6. Step 6: Final answer
    x = 9,413.83

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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.