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Finding the Fourth Proportional to 7,771.28, 10,724.22 and 4,414.05

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Solution

The fourth proportional to 7,771.28, 10,724.22 and 4,414.05 is: 6,091.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.28 : 10,724.22 = 4,414.05 : x
  2. Step 2: Convert to fraction form
    7,771.28/10,724.22 = 4,414.05/x
  3. Step 3: Cross multiply
    7,771.28x = 10,724.22 × 4,414.05
  4. Step 4: Simplify right side
    7,771.28x = 47,337,243.29
  5. Step 5: Solve for x
    x = 47,337,243.29/7,771.28
  6. Step 6: Final answer
    x = 6,091.31

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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.