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Finding the Fourth Proportional to 7,769.94, 11,713.49 and 7,268.82

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Solution

The fourth proportional to 7,769.94, 11,713.49 and 7,268.82 is: 10,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.94 : 11,713.49 = 7,268.82 : x
  2. Step 2: Convert to fraction form
    7,769.94/11,713.49 = 7,268.82/x
  3. Step 3: Cross multiply
    7,769.94x = 11,713.49 × 7,268.82
  4. Step 4: Simplify right side
    7,769.94x = 85,143,214.04
  5. Step 5: Solve for x
    x = 85,143,214.04/7,769.94
  6. Step 6: Final answer
    x = 10,958.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.