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Finding the Fourth Proportional to 11,481.57, 15,845.42 and 6,446.88

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Solution

The fourth proportional to 11,481.57, 15,845.42 and 6,446.88 is: 8,897.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,481.57 : 15,845.42 = 6,446.88 : x
  2. Step 2: Convert to fraction form
    11,481.57/15,845.42 = 6,446.88/x
  3. Step 3: Cross multiply
    11,481.57x = 15,845.42 × 6,446.88
  4. Step 4: Simplify right side
    11,481.57x = 102,153,537.41
  5. Step 5: Solve for x
    x = 102,153,537.41/11,481.57
  6. Step 6: Final answer
    x = 8,897.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.