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Finding the Fourth Proportional to 11,857.91, 16,377.12 and 9,201.25

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Solution

The fourth proportional to 11,857.91, 16,377.12 and 9,201.25 is: 12,707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.91 : 16,377.12 = 9,201.25 : x
  2. Step 2: Convert to fraction form
    11,857.91/16,377.12 = 9,201.25/x
  3. Step 3: Cross multiply
    11,857.91x = 16,377.12 × 9,201.25
  4. Step 4: Simplify right side
    11,857.91x = 150,689,847.51
  5. Step 5: Solve for x
    x = 150,689,847.51/11,857.91
  6. Step 6: Final answer
    x = 12,707.97

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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.