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Finding the Fourth Proportional to 11,861.91, 16,358.83 and 9,842.12

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Solution

The fourth proportional to 11,861.91, 16,358.83 and 9,842.12 is: 13,573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.91 : 16,358.83 = 9,842.12 : x
  2. Step 2: Convert to fraction form
    11,861.91/16,358.83 = 9,842.12/x
  3. Step 3: Cross multiply
    11,861.91x = 16,358.83 × 9,842.12
  4. Step 4: Simplify right side
    11,861.91x = 161,005,608.82
  5. Step 5: Solve for x
    x = 161,005,608.82/11,861.91
  6. Step 6: Final answer
    x = 13,573.33

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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.