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Finding the Fourth Proportional to 11,906.31, 17,859.90 and 4,511.32

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Solution

The fourth proportional to 11,906.31, 17,859.90 and 4,511.32 is: 6,767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.31 : 17,859.90 = 4,511.32 : x
  2. Step 2: Convert to fraction form
    11,906.31/17,859.90 = 4,511.32/x
  3. Step 3: Cross multiply
    11,906.31x = 17,859.90 × 4,511.32
  4. Step 4: Simplify right side
    11,906.31x = 80,571,724.07
  5. Step 5: Solve for x
    x = 80,571,724.07/11,906.31
  6. Step 6: Final answer
    x = 6,767.14

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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.