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Finding the Fourth Proportional to 11,704.40, 17,537.16 and 8,234.36

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Solution

The fourth proportional to 11,704.40, 17,537.16 and 8,234.36 is: 12,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.40 : 17,537.16 = 8,234.36 : x
  2. Step 2: Convert to fraction form
    11,704.40/17,537.16 = 8,234.36/x
  3. Step 3: Cross multiply
    11,704.40x = 17,537.16 × 8,234.36
  4. Step 4: Simplify right side
    11,704.40x = 144,407,288.82
  5. Step 5: Solve for x
    x = 144,407,288.82/11,704.40
  6. Step 6: Final answer
    x = 12,337.86

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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.