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Finding the Fourth Proportional to 11,969.25, 17,956.46 and 3,649.05

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Solution

The fourth proportional to 11,969.25, 17,956.46 and 3,649.05 is: 5,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.25 : 17,956.46 = 3,649.05 : x
  2. Step 2: Convert to fraction form
    11,969.25/17,956.46 = 3,649.05/x
  3. Step 3: Cross multiply
    11,969.25x = 17,956.46 × 3,649.05
  4. Step 4: Simplify right side
    11,969.25x = 65,524,020.36
  5. Step 5: Solve for x
    x = 65,524,020.36/11,969.25
  6. Step 6: Final answer
    x = 5,474.36

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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.