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Finding the Fourth Proportional to 7,410.94, 10,229.67 and 4,268.38

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Solution

The fourth proportional to 7,410.94, 10,229.67 and 4,268.38 is: 5,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.94 : 10,229.67 = 4,268.38 : x
  2. Step 2: Convert to fraction form
    7,410.94/10,229.67 = 4,268.38/x
  3. Step 3: Cross multiply
    7,410.94x = 10,229.67 × 4,268.38
  4. Step 4: Simplify right side
    7,410.94x = 43,664,118.83
  5. Step 5: Solve for x
    x = 43,664,118.83/7,410.94
  6. Step 6: Final answer
    x = 5,891.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.