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Finding the Fourth Proportional to 9,061.38, 12,504.78 and 5,082.57

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Solution

The fourth proportional to 9,061.38, 12,504.78 and 5,082.57 is: 7,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,061.38 : 12,504.78 = 5,082.57 : x
  2. Step 2: Convert to fraction form
    9,061.38/12,504.78 = 5,082.57/x
  3. Step 3: Cross multiply
    9,061.38x = 12,504.78 × 5,082.57
  4. Step 4: Simplify right side
    9,061.38x = 63,556,419.68
  5. Step 5: Solve for x
    x = 63,556,419.68/9,061.38
  6. Step 6: Final answer
    x = 7,013.99

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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.