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Finding the Fourth Proportional to 11,640.78, 17,431.38 and 7,680.06

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Solution

The fourth proportional to 11,640.78, 17,431.38 and 7,680.06 is: 11,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.78 : 17,431.38 = 7,680.06 : x
  2. Step 2: Convert to fraction form
    11,640.78/17,431.38 = 7,680.06/x
  3. Step 3: Cross multiply
    11,640.78x = 17,431.38 × 7,680.06
  4. Step 4: Simplify right side
    11,640.78x = 133,874,044.28
  5. Step 5: Solve for x
    x = 133,874,044.28/11,640.78
  6. Step 6: Final answer
    x = 11,500.44

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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.