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Finding the Fourth Proportional to 7,682.74, 11,516.91 and 6,997.99

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Solution

The fourth proportional to 7,682.74, 11,516.91 and 6,997.99 is: 10,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.74 : 11,516.91 = 6,997.99 : x
  2. Step 2: Convert to fraction form
    7,682.74/11,516.91 = 6,997.99/x
  3. Step 3: Cross multiply
    7,682.74x = 11,516.91 × 6,997.99
  4. Step 4: Simplify right side
    7,682.74x = 80,595,221.01
  5. Step 5: Solve for x
    x = 80,595,221.01/7,682.74
  6. Step 6: Final answer
    x = 10,490.43

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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.