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Finding the Fourth Proportional to 7,805.24, 10,771.16 and 4,268.46

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Solution

The fourth proportional to 7,805.24, 10,771.16 and 4,268.46 is: 5,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.24 : 10,771.16 = 4,268.46 : x
  2. Step 2: Convert to fraction form
    7,805.24/10,771.16 = 4,268.46/x
  3. Step 3: Cross multiply
    7,805.24x = 10,771.16 × 4,268.46
  4. Step 4: Simplify right side
    7,805.24x = 45,976,244.27
  5. Step 5: Solve for x
    x = 45,976,244.27/7,805.24
  6. Step 6: Final answer
    x = 5,890.44

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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.