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Finding the Fourth Proportional to 10,760.80, 16,142.64 and 3,365.76

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Solution

The fourth proportional to 10,760.80, 16,142.64 and 3,365.76 is: 5,049.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.80 : 16,142.64 = 3,365.76 : x
  2. Step 2: Convert to fraction form
    10,760.80/16,142.64 = 3,365.76/x
  3. Step 3: Cross multiply
    10,760.80x = 16,142.64 × 3,365.76
  4. Step 4: Simplify right side
    10,760.80x = 54,332,252.01
  5. Step 5: Solve for x
    x = 54,332,252.01/10,760.80
  6. Step 6: Final answer
    x = 5,049.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.