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Finding the Fourth Proportional to 8,814.50, 13,234.36 and 7,731.94

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Solution

The fourth proportional to 8,814.50, 13,234.36 and 7,731.94 is: 11,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.50 : 13,234.36 = 7,731.94 : x
  2. Step 2: Convert to fraction form
    8,814.50/13,234.36 = 7,731.94/x
  3. Step 3: Cross multiply
    8,814.50x = 13,234.36 × 7,731.94
  4. Step 4: Simplify right side
    8,814.50x = 102,327,277.46
  5. Step 5: Solve for x
    x = 102,327,277.46/8,814.50
  6. Step 6: Final answer
    x = 11,608.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.