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Finding the Fourth Proportional to 11,787.23, 16,266.82 and 6,481.93

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Solution

The fourth proportional to 11,787.23, 16,266.82 and 6,481.93 is: 8,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.23 : 16,266.82 = 6,481.93 : x
  2. Step 2: Convert to fraction form
    11,787.23/16,266.82 = 6,481.93/x
  3. Step 3: Cross multiply
    11,787.23x = 16,266.82 × 6,481.93
  4. Step 4: Simplify right side
    11,787.23x = 105,440,388.56
  5. Step 5: Solve for x
    x = 105,440,388.56/11,787.23
  6. Step 6: Final answer
    x = 8,945.31

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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.