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Finding the Fourth Proportional to 10,082.83, 13,912.99 and 5,605.69

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Solution

The fourth proportional to 10,082.83, 13,912.99 and 5,605.69 is: 7,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.83 : 13,912.99 = 5,605.69 : x
  2. Step 2: Convert to fraction form
    10,082.83/13,912.99 = 5,605.69/x
  3. Step 3: Cross multiply
    10,082.83x = 13,912.99 × 5,605.69
  4. Step 4: Simplify right side
    10,082.83x = 77,991,860.12
  5. Step 5: Solve for x
    x = 77,991,860.12/10,082.83
  6. Step 6: Final answer
    x = 7,735.12

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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.