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Finding the Fourth Proportional to 11,704.56, 17,551.66 and 3,804.16

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Solution

The fourth proportional to 11,704.56, 17,551.66 and 3,804.16 is: 5,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.56 : 17,551.66 = 3,804.16 : x
  2. Step 2: Convert to fraction form
    11,704.56/17,551.66 = 3,804.16/x
  3. Step 3: Cross multiply
    11,704.56x = 17,551.66 × 3,804.16
  4. Step 4: Simplify right side
    11,704.56x = 66,769,322.91
  5. Step 5: Solve for x
    x = 66,769,322.91/11,704.56
  6. Step 6: Final answer
    x = 5,704.56

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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.