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Finding the Fourth Proportional to 11,628.72, 17,439 and 3,835.44

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Solution

The fourth proportional to 11,628.72, 17,439 and 3,835.44 is: 5,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.72 : 17,439 = 3,835.44 : x
  2. Step 2: Convert to fraction form
    11,628.72/17,439 = 3,835.44/x
  3. Step 3: Cross multiply
    11,628.72x = 17,439 × 3,835.44
  4. Step 4: Simplify right side
    11,628.72x = 66,886,238.16
  5. Step 5: Solve for x
    x = 66,886,238.16/11,628.72
  6. Step 6: Final answer
    x = 5,751.81

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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.