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Finding the Fourth Proportional to 11,633.98, 17,433.96 and 7,238.08

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Solution

The fourth proportional to 11,633.98, 17,433.96 and 7,238.08 is: 10,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.98 : 17,433.96 = 7,238.08 : x
  2. Step 2: Convert to fraction form
    11,633.98/17,433.96 = 7,238.08/x
  3. Step 3: Cross multiply
    11,633.98x = 17,433.96 × 7,238.08
  4. Step 4: Simplify right side
    11,633.98x = 126,188,397.20
  5. Step 5: Solve for x
    x = 126,188,397.20/11,633.98
  6. Step 6: Final answer
    x = 10,846.54

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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.