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Finding the Fourth Proportional to 11,787.53, 16,266.42 and 6,481.82

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Solution

The fourth proportional to 11,787.53, 16,266.42 and 6,481.82 is: 8,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.53 : 16,266.42 = 6,481.82 : x
  2. Step 2: Convert to fraction form
    11,787.53/16,266.42 = 6,481.82/x
  3. Step 3: Cross multiply
    11,787.53x = 16,266.42 × 6,481.82
  4. Step 4: Simplify right side
    11,787.53x = 105,436,047.15
  5. Step 5: Solve for x
    x = 105,436,047.15/11,787.53
  6. Step 6: Final answer
    x = 8,944.71

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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.