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Finding the Fourth Proportional to 11,857.05, 16,363.22 and 6,821.28

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Solution

The fourth proportional to 11,857.05, 16,363.22 and 6,821.28 is: 9,413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.05 : 16,363.22 = 6,821.28 : x
  2. Step 2: Convert to fraction form
    11,857.05/16,363.22 = 6,821.28/x
  3. Step 3: Cross multiply
    11,857.05x = 16,363.22 × 6,821.28
  4. Step 4: Simplify right side
    11,857.05x = 111,618,071.22
  5. Step 5: Solve for x
    x = 111,618,071.22/11,857.05
  6. Step 6: Final answer
    x = 9,413.65

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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.