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Finding the Fourth Proportional to 11,556.50, 15,939.81 and 7,082.41

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Solution

The fourth proportional to 11,556.50, 15,939.81 and 7,082.41 is: 9,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556.50 : 15,939.81 = 7,082.41 : x
  2. Step 2: Convert to fraction form
    11,556.50/15,939.81 = 7,082.41/x
  3. Step 3: Cross multiply
    11,556.50x = 15,939.81 × 7,082.41
  4. Step 4: Simplify right side
    11,556.50x = 112,892,324.53
  5. Step 5: Solve for x
    x = 112,892,324.53/11,556.50
  6. Step 6: Final answer
    x = 9,768.73

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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.