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Finding the Fourth Proportional to 8,174.98, 11,296.78 and 6,682.34

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Solution

The fourth proportional to 8,174.98, 11,296.78 and 6,682.34 is: 9,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.98 : 11,296.78 = 6,682.34 : x
  2. Step 2: Convert to fraction form
    8,174.98/11,296.78 = 6,682.34/x
  3. Step 3: Cross multiply
    8,174.98x = 11,296.78 × 6,682.34
  4. Step 4: Simplify right side
    8,174.98x = 75,488,924.87
  5. Step 5: Solve for x
    x = 75,488,924.87/8,174.98
  6. Step 6: Final answer
    x = 9,234.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.