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Finding the Fourth Proportional to 27,726.57, 41,589.89 and 7,735.26

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Solution

The fourth proportional to 27,726.57, 41,589.89 and 7,735.26 is: 11,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.57 : 41,589.89 = 7,735.26 : x
  2. Step 2: Convert to fraction form
    27,726.57/41,589.89 = 7,735.26/x
  3. Step 3: Cross multiply
    27,726.57x = 41,589.89 × 7,735.26
  4. Step 4: Simplify right side
    27,726.57x = 321,708,573.85
  5. Step 5: Solve for x
    x = 321,708,573.85/27,726.57
  6. Step 6: Final answer
    x = 11,602.90

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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.