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Finding the Fourth Proportional to 27,498.29, 41,241.25 and 7,772.25

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Solution

The fourth proportional to 27,498.29, 41,241.25 and 7,772.25 is: 11,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498.29 : 41,241.25 = 7,772.25 : x
  2. Step 2: Convert to fraction form
    27,498.29/41,241.25 = 7,772.25/x
  3. Step 3: Cross multiply
    27,498.29x = 41,241.25 × 7,772.25
  4. Step 4: Simplify right side
    27,498.29x = 320,537,469.68
  5. Step 5: Solve for x
    x = 320,537,469.68/27,498.29
  6. Step 6: Final answer
    x = 11,656.63

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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.