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Finding the Fourth Proportional to 11,906.91, 17,859.10 and 4,887.66

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Solution

The fourth proportional to 11,906.91, 17,859.10 and 4,887.66 is: 7,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.91 : 17,859.10 = 4,887.66 : x
  2. Step 2: Convert to fraction form
    11,906.91/17,859.10 = 4,887.66/x
  3. Step 3: Cross multiply
    11,906.91x = 17,859.10 × 4,887.66
  4. Step 4: Simplify right side
    11,906.91x = 87,289,208.71
  5. Step 5: Solve for x
    x = 87,289,208.71/11,906.91
  6. Step 6: Final answer
    x = 7,330.97

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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.