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Finding the Fourth Proportional to 7,805.29, 10,771.49 and 4,268.77

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Solution

The fourth proportional to 7,805.29, 10,771.49 and 4,268.77 is: 5,891.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.29 : 10,771.49 = 4,268.77 : x
  2. Step 2: Convert to fraction form
    7,805.29/10,771.49 = 4,268.77/x
  3. Step 3: Cross multiply
    7,805.29x = 10,771.49 × 4,268.77
  4. Step 4: Simplify right side
    7,805.29x = 45,981,013.37
  5. Step 5: Solve for x
    x = 45,981,013.37/7,805.29
  6. Step 6: Final answer
    x = 5,891.01

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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.