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Finding the Fourth Proportional to 11,574.09, 17,361.14 and 3,782.84

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Solution

The fourth proportional to 11,574.09, 17,361.14 and 3,782.84 is: 5,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.09 : 17,361.14 = 3,782.84 : x
  2. Step 2: Convert to fraction form
    11,574.09/17,361.14 = 3,782.84/x
  3. Step 3: Cross multiply
    11,574.09x = 17,361.14 × 3,782.84
  4. Step 4: Simplify right side
    11,574.09x = 65,674,309.12
  5. Step 5: Solve for x
    x = 65,674,309.12/11,574.09
  6. Step 6: Final answer
    x = 5,674.25

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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.