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Finding the Fourth Proportional to 27,689.46, 41,534.22 and 7,963.44

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Solution

The fourth proportional to 27,689.46, 41,534.22 and 7,963.44 is: 11,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,689.46 : 41,534.22 = 7,963.44 : x
  2. Step 2: Convert to fraction form
    27,689.46/41,534.22 = 7,963.44/x
  3. Step 3: Cross multiply
    27,689.46x = 41,534.22 × 7,963.44
  4. Step 4: Simplify right side
    27,689.46x = 330,755,268.92
  5. Step 5: Solve for x
    x = 330,755,268.92/27,689.46
  6. Step 6: Final answer
    x = 11,945.17

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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.