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Finding the Fourth Proportional to 11,787.12, 16,273.31 and 7,760.41

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Solution

The fourth proportional to 11,787.12, 16,273.31 and 7,760.41 is: 10,714.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.12 : 16,273.31 = 7,760.41 : x
  2. Step 2: Convert to fraction form
    11,787.12/16,273.31 = 7,760.41/x
  3. Step 3: Cross multiply
    11,787.12x = 16,273.31 × 7,760.41
  4. Step 4: Simplify right side
    11,787.12x = 126,287,478.17
  5. Step 5: Solve for x
    x = 126,287,478.17/11,787.12
  6. Step 6: Final answer
    x = 10,714.02

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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.