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Finding the Fourth Proportional to 11,857.06, 16,362.71 and 6,821.15

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Solution

The fourth proportional to 11,857.06, 16,362.71 and 6,821.15 is: 9,413.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.06 : 16,362.71 = 6,821.15 : x
  2. Step 2: Convert to fraction form
    11,857.06/16,362.71 = 6,821.15/x
  3. Step 3: Cross multiply
    11,857.06x = 16,362.71 × 6,821.15
  4. Step 4: Simplify right side
    11,857.06x = 111,612,516.37
  5. Step 5: Solve for x
    x = 111,612,516.37/11,857.06
  6. Step 6: Final answer
    x = 9,413.17

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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.