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Finding the Fourth Proportional to 27,792.76, 41,689.82 and 8,071.49

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Solution

The fourth proportional to 27,792.76, 41,689.82 and 8,071.49 is: 12,107.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792.76 : 41,689.82 = 8,071.49 : x
  2. Step 2: Convert to fraction form
    27,792.76/41,689.82 = 8,071.49/x
  3. Step 3: Cross multiply
    27,792.76x = 41,689.82 × 8,071.49
  4. Step 4: Simplify right side
    27,792.76x = 336,498,756.78
  5. Step 5: Solve for x
    x = 336,498,756.78/27,792.76
  6. Step 6: Final answer
    x = 12,107.42

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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.