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Finding the Fourth Proportional to 7,843.02, 11,769.18 and 3,165.27

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Solution

The fourth proportional to 7,843.02, 11,769.18 and 3,165.27 is: 4,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.02 : 11,769.18 = 3,165.27 : x
  2. Step 2: Convert to fraction form
    7,843.02/11,769.18 = 3,165.27/x
  3. Step 3: Cross multiply
    7,843.02x = 11,769.18 × 3,165.27
  4. Step 4: Simplify right side
    7,843.02x = 37,252,632.38
  5. Step 5: Solve for x
    x = 37,252,632.38/7,843.02
  6. Step 6: Final answer
    x = 4,749.78

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Why These Related Problems?

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