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Finding the Fourth Proportional to 10,794.22, 16,187.09 and 5,245.94

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Solution

The fourth proportional to 10,794.22, 16,187.09 and 5,245.94 is: 7,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.22 : 16,187.09 = 5,245.94 : x
  2. Step 2: Convert to fraction form
    10,794.22/16,187.09 = 5,245.94/x
  3. Step 3: Cross multiply
    10,794.22x = 16,187.09 × 5,245.94
  4. Step 4: Simplify right side
    10,794.22x = 84,916,502.91
  5. Step 5: Solve for x
    x = 84,916,502.91/10,794.22
  6. Step 6: Final answer
    x = 7,866.85

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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.