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Finding the Fourth Proportional to 7,672.73, 11,516.99 and 4,757.94

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Solution

The fourth proportional to 7,672.73, 11,516.99 and 4,757.94 is: 7,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.73 : 11,516.99 = 4,757.94 : x
  2. Step 2: Convert to fraction form
    7,672.73/11,516.99 = 4,757.94/x
  3. Step 3: Cross multiply
    7,672.73x = 11,516.99 × 4,757.94
  4. Step 4: Simplify right side
    7,672.73x = 54,797,123.61
  5. Step 5: Solve for x
    x = 54,797,123.61/7,672.73
  6. Step 6: Final answer
    x = 7,141.81

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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.