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Finding the Fourth Proportional to 27,682.12, 41,522.92 and 7,960.60

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Solution

The fourth proportional to 27,682.12, 41,522.92 and 7,960.60 is: 11,940.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.12 : 41,522.92 = 7,960.60 : x
  2. Step 2: Convert to fraction form
    27,682.12/41,522.92 = 7,960.60/x
  3. Step 3: Cross multiply
    27,682.12x = 41,522.92 × 7,960.60
  4. Step 4: Simplify right side
    27,682.12x = 330,547,356.95
  5. Step 5: Solve for x
    x = 330,547,356.95/27,682.12
  6. Step 6: Final answer
    x = 11,940.83

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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.