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Finding the Fourth Proportional to 7,678.38, 11,520.81 and 3,782.82

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Solution

The fourth proportional to 7,678.38, 11,520.81 and 3,782.82 is: 5,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.38 : 11,520.81 = 3,782.82 : x
  2. Step 2: Convert to fraction form
    7,678.38/11,520.81 = 3,782.82/x
  3. Step 3: Cross multiply
    7,678.38x = 11,520.81 × 3,782.82
  4. Step 4: Simplify right side
    7,678.38x = 43,581,150.48
  5. Step 5: Solve for x
    x = 43,581,150.48/7,678.38
  6. Step 6: Final answer
    x = 5,675.83

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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.