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Finding the Fourth Proportional to 11,287.79, 16,910.10 and 6,846.83

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Solution

The fourth proportional to 11,287.79, 16,910.10 and 6,846.83 is: 10,257.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.79 : 16,910.10 = 6,846.83 : x
  2. Step 2: Convert to fraction form
    11,287.79/16,910.10 = 6,846.83/x
  3. Step 3: Cross multiply
    11,287.79x = 16,910.10 × 6,846.83
  4. Step 4: Simplify right side
    11,287.79x = 115,780,558.85
  5. Step 5: Solve for x
    x = 115,780,558.85/11,287.79
  6. Step 6: Final answer
    x = 10,257.15

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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.