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Finding the Fourth Proportional to 11,906.31, 17,855.89 and 7,470.71

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Solution

The fourth proportional to 11,906.31, 17,855.89 and 7,470.71 is: 11,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.31 : 17,855.89 = 7,470.71 : x
  2. Step 2: Convert to fraction form
    11,906.31/17,855.89 = 7,470.71/x
  3. Step 3: Cross multiply
    11,906.31x = 17,855.89 × 7,470.71
  4. Step 4: Simplify right side
    11,906.31x = 133,396,068.03
  5. Step 5: Solve for x
    x = 133,396,068.03/11,906.31
  6. Step 6: Final answer
    x = 11,203.81

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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.