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Finding the Fourth Proportional to 7,013.94, 10,519.09 and 2,082.42

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Solution

The fourth proportional to 7,013.94, 10,519.09 and 2,082.42 is: 3,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.94 : 10,519.09 = 2,082.42 : x
  2. Step 2: Convert to fraction form
    7,013.94/10,519.09 = 2,082.42/x
  3. Step 3: Cross multiply
    7,013.94x = 10,519.09 × 2,082.42
  4. Step 4: Simplify right side
    7,013.94x = 21,905,163.40
  5. Step 5: Solve for x
    x = 21,905,163.40/7,013.94
  6. Step 6: Final answer
    x = 3,123.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.