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Finding the Fourth Proportional to 7,759.72, 11,645.93 and 3,082.92

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Solution

The fourth proportional to 7,759.72, 11,645.93 and 3,082.92 is: 4,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.72 : 11,645.93 = 3,082.92 : x
  2. Step 2: Convert to fraction form
    7,759.72/11,645.93 = 3,082.92/x
  3. Step 3: Cross multiply
    7,759.72x = 11,645.93 × 3,082.92
  4. Step 4: Simplify right side
    7,759.72x = 35,903,470.52
  5. Step 5: Solve for x
    x = 35,903,470.52/7,759.72
  6. Step 6: Final answer
    x = 4,626.90

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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.