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Finding the Fourth Proportional to 7,410.78, 10,228.14 and 4,268.79

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Solution

The fourth proportional to 7,410.78, 10,228.14 and 4,268.79 is: 5,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,410.78 : 10,228.14 = 4,268.79 : x
  2. Step 2: Convert to fraction form
    7,410.78/10,228.14 = 4,268.79/x
  3. Step 3: Cross multiply
    7,410.78x = 10,228.14 × 4,268.79
  4. Step 4: Simplify right side
    7,410.78x = 43,661,781.75
  5. Step 5: Solve for x
    x = 43,661,781.75/7,410.78
  6. Step 6: Final answer
    x = 5,891.66

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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.