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Finding the Fourth Proportional to 11,906.69, 17,856.20 and 4,007.05

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Solution

The fourth proportional to 11,906.69, 17,856.20 and 4,007.05 is: 6,009.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.69 : 17,856.20 = 4,007.05 : x
  2. Step 2: Convert to fraction form
    11,906.69/17,856.20 = 4,007.05/x
  3. Step 3: Cross multiply
    11,906.69x = 17,856.20 × 4,007.05
  4. Step 4: Simplify right side
    11,906.69x = 71,550,651.59
  5. Step 5: Solve for x
    x = 71,550,651.59/11,906.69
  6. Step 6: Final answer
    x = 6,009.28

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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.