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Finding the Fourth Proportional to 7,640.39, 11,442.07 and 3,882.29

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Solution

The fourth proportional to 7,640.39, 11,442.07 and 3,882.29 is: 5,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.39 : 11,442.07 = 3,882.29 : x
  2. Step 2: Convert to fraction form
    7,640.39/11,442.07 = 3,882.29/x
  3. Step 3: Cross multiply
    7,640.39x = 11,442.07 × 3,882.29
  4. Step 4: Simplify right side
    7,640.39x = 44,421,376.73
  5. Step 5: Solve for x
    x = 44,421,376.73/7,640.39
  6. Step 6: Final answer
    x = 5,814.02

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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.