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Finding the Fourth Proportional to 7,462.92, 11,194.92 and 2,268.80

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Solution

The fourth proportional to 7,462.92, 11,194.92 and 2,268.80 is: 3,403.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462.92 : 11,194.92 = 2,268.80 : x
  2. Step 2: Convert to fraction form
    7,462.92/11,194.92 = 2,268.80/x
  3. Step 3: Cross multiply
    7,462.92x = 11,194.92 × 2,268.80
  4. Step 4: Simplify right side
    7,462.92x = 25,399,034.50
  5. Step 5: Solve for x
    x = 25,399,034.50/7,462.92
  6. Step 6: Final answer
    x = 3,403.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.