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Finding the Fourth Proportional to 27,076.26, 40,616.82 and 7,354.92

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Solution

The fourth proportional to 27,076.26, 40,616.82 and 7,354.92 is: 11,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,076.26 : 40,616.82 = 7,354.92 : x
  2. Step 2: Convert to fraction form
    27,076.26/40,616.82 = 7,354.92/x
  3. Step 3: Cross multiply
    27,076.26x = 40,616.82 × 7,354.92
  4. Step 4: Simplify right side
    27,076.26x = 298,733,461.75
  5. Step 5: Solve for x
    x = 298,733,461.75/27,076.26
  6. Step 6: Final answer
    x = 11,033.04

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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.