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Finding the Fourth Proportional to 10,082, 15,119.07 and 5,923.07

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Solution

The fourth proportional to 10,082, 15,119.07 and 5,923.07 is: 8,882.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082 : 15,119.07 = 5,923.07 : x
  2. Step 2: Convert to fraction form
    10,082/15,119.07 = 5,923.07/x
  3. Step 3: Cross multiply
    10,082x = 15,119.07 × 5,923.07
  4. Step 4: Simplify right side
    10,082x = 89,551,309.94
  5. Step 5: Solve for x
    x = 89,551,309.94/10,082
  6. Step 6: Final answer
    x = 8,882.30

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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.