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Finding the Fourth Proportional to 7,601.09, 10,493.89 and 5,794.38

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Solution

The fourth proportional to 7,601.09, 10,493.89 and 5,794.38 is: 7,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.09 : 10,493.89 = 5,794.38 : x
  2. Step 2: Convert to fraction form
    7,601.09/10,493.89 = 5,794.38/x
  3. Step 3: Cross multiply
    7,601.09x = 10,493.89 × 5,794.38
  4. Step 4: Simplify right side
    7,601.09x = 60,805,586.34
  5. Step 5: Solve for x
    x = 60,805,586.34/7,601.09
  6. Step 6: Final answer
    x = 7,999.59

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Why These Related Problems?

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