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Finding the Fourth Proportional to 11,755.09, 17,633.23 and 3,856.91

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Solution

The fourth proportional to 11,755.09, 17,633.23 and 3,856.91 is: 5,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.09 : 17,633.23 = 3,856.91 : x
  2. Step 2: Convert to fraction form
    11,755.09/17,633.23 = 3,856.91/x
  3. Step 3: Cross multiply
    11,755.09x = 17,633.23 × 3,856.91
  4. Step 4: Simplify right side
    11,755.09x = 68,009,781.12
  5. Step 5: Solve for x
    x = 68,009,781.12/11,755.09
  6. Step 6: Final answer
    x = 5,785.56

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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.