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Finding the Fourth Proportional to 12,162.28, 16,791.20 and 7,977.84

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Solution

The fourth proportional to 12,162.28, 16,791.20 and 7,977.84 is: 11,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162.28 : 16,791.20 = 7,977.84 : x
  2. Step 2: Convert to fraction form
    12,162.28/16,791.20 = 7,977.84/x
  3. Step 3: Cross multiply
    12,162.28x = 16,791.20 × 7,977.84
  4. Step 4: Simplify right side
    12,162.28x = 133,957,507.01
  5. Step 5: Solve for x
    x = 133,957,507.01/12,162.28
  6. Step 6: Final answer
    x = 11,014.18

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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.