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Finding the Fourth Proportional to 11,574.44, 17,361.46 and 3,783.26

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Solution

The fourth proportional to 11,574.44, 17,361.46 and 3,783.26 is: 5,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.44 : 17,361.46 = 3,783.26 : x
  2. Step 2: Convert to fraction form
    11,574.44/17,361.46 = 3,783.26/x
  3. Step 3: Cross multiply
    11,574.44x = 17,361.46 × 3,783.26
  4. Step 4: Simplify right side
    11,574.44x = 65,682,917.16
  5. Step 5: Solve for x
    x = 65,682,917.16/11,574.44
  6. Step 6: Final answer
    x = 5,674.82

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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.