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Finding the Fourth Proportional to 7,630.41, 11,442.38 and 3,469.17

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Solution

The fourth proportional to 7,630.41, 11,442.38 and 3,469.17 is: 5,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.41 : 11,442.38 = 3,469.17 : x
  2. Step 2: Convert to fraction form
    7,630.41/11,442.38 = 3,469.17/x
  3. Step 3: Cross multiply
    7,630.41x = 11,442.38 × 3,469.17
  4. Step 4: Simplify right side
    7,630.41x = 39,695,544.08
  5. Step 5: Solve for x
    x = 39,695,544.08/7,630.41
  6. Step 6: Final answer
    x = 5,202.28

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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.