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Finding the Fourth Proportional to 11,930.92, 16,445.52 and 8,101.36

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Solution

The fourth proportional to 11,930.92, 16,445.52 and 8,101.36 is: 11,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.92 : 16,445.52 = 8,101.36 : x
  2. Step 2: Convert to fraction form
    11,930.92/16,445.52 = 8,101.36/x
  3. Step 3: Cross multiply
    11,930.92x = 16,445.52 × 8,101.36
  4. Step 4: Simplify right side
    11,930.92x = 133,231,077.91
  5. Step 5: Solve for x
    x = 133,231,077.91/11,930.92
  6. Step 6: Final answer
    x = 11,166.87

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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.