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Finding the Fourth Proportional to 10,984.72, 16,481.28 and 6,605.28

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Solution

The fourth proportional to 10,984.72, 16,481.28 and 6,605.28 is: 9,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.72 : 16,481.28 = 6,605.28 : x
  2. Step 2: Convert to fraction form
    10,984.72/16,481.28 = 6,605.28/x
  3. Step 3: Cross multiply
    10,984.72x = 16,481.28 × 6,605.28
  4. Step 4: Simplify right side
    10,984.72x = 108,863,469.16
  5. Step 5: Solve for x
    x = 108,863,469.16/10,984.72
  6. Step 6: Final answer
    x = 9,910.45

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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.