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Finding the Fourth Proportional to 11,857.92, 16,365.15 and 6,822.33

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Solution

The fourth proportional to 11,857.92, 16,365.15 and 6,822.33 is: 9,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.92 : 16,365.15 = 6,822.33 : x
  2. Step 2: Convert to fraction form
    11,857.92/16,365.15 = 6,822.33/x
  3. Step 3: Cross multiply
    11,857.92x = 16,365.15 × 6,822.33
  4. Step 4: Simplify right side
    11,857.92x = 111,648,453.80
  5. Step 5: Solve for x
    x = 111,648,453.80/11,857.92
  6. Step 6: Final answer
    x = 9,415.52

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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.