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Finding the Fourth Proportional to 11,857.04, 16,362.66 and 6,822.20

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Solution

The fourth proportional to 11,857.04, 16,362.66 and 6,822.20 is: 9,414.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.04 : 16,362.66 = 6,822.20 : x
  2. Step 2: Convert to fraction form
    11,857.04/16,362.66 = 6,822.20/x
  3. Step 3: Cross multiply
    11,857.04x = 16,362.66 × 6,822.20
  4. Step 4: Simplify right side
    11,857.04x = 111,629,339.05
  5. Step 5: Solve for x
    x = 111,629,339.05/11,857.04
  6. Step 6: Final answer
    x = 9,414.60

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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.