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Finding the Fourth Proportional to 11,906.56, 17,856.26 and 7,470.96

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Solution

The fourth proportional to 11,906.56, 17,856.26 and 7,470.96 is: 11,204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.56 : 17,856.26 = 7,470.96 : x
  2. Step 2: Convert to fraction form
    11,906.56/17,856.26 = 7,470.96/x
  3. Step 3: Cross multiply
    11,906.56x = 17,856.26 × 7,470.96
  4. Step 4: Simplify right side
    11,906.56x = 133,403,333.61
  5. Step 5: Solve for x
    x = 133,403,333.61/11,906.56
  6. Step 6: Final answer
    x = 11,204.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.