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Finding the Fourth Proportional to 7,409.64, 11,112.92 and 2,728.44

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Solution

The fourth proportional to 7,409.64, 11,112.92 and 2,728.44 is: 4,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.64 : 11,112.92 = 2,728.44 : x
  2. Step 2: Convert to fraction form
    7,409.64/11,112.92 = 2,728.44/x
  3. Step 3: Cross multiply
    7,409.64x = 11,112.92 × 2,728.44
  4. Step 4: Simplify right side
    7,409.64x = 30,320,935.44
  5. Step 5: Solve for x
    x = 30,320,935.44/7,409.64
  6. Step 6: Final answer
    x = 4,092.09

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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.