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Finding the Fourth Proportional to 7,640.34, 11,463.42 and 3,940.21

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Solution

The fourth proportional to 7,640.34, 11,463.42 and 3,940.21 is: 5,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.34 : 11,463.42 = 3,940.21 : x
  2. Step 2: Convert to fraction form
    7,640.34/11,463.42 = 3,940.21/x
  3. Step 3: Cross multiply
    7,640.34x = 11,463.42 × 3,940.21
  4. Step 4: Simplify right side
    7,640.34x = 45,168,282.12
  5. Step 5: Solve for x
    x = 45,168,282.12/7,640.34
  6. Step 6: Final answer
    x = 5,911.82

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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.