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Finding the Fourth Proportional to 10,735.82, 16,082.77 and 7,396.19

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Solution

The fourth proportional to 10,735.82, 16,082.77 and 7,396.19 is: 11,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.82 : 16,082.77 = 7,396.19 : x
  2. Step 2: Convert to fraction form
    10,735.82/16,082.77 = 7,396.19/x
  3. Step 3: Cross multiply
    10,735.82x = 16,082.77 × 7,396.19
  4. Step 4: Simplify right side
    10,735.82x = 118,951,222.65
  5. Step 5: Solve for x
    x = 118,951,222.65/10,735.82
  6. Step 6: Final answer
    x = 11,079.85

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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.