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Finding the Fourth Proportional to 27,106.79, 40,651.97 and 7,382.78

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Solution

The fourth proportional to 27,106.79, 40,651.97 and 7,382.78 is: 11,071.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,106.79 : 40,651.97 = 7,382.78 : x
  2. Step 2: Convert to fraction form
    27,106.79/40,651.97 = 7,382.78/x
  3. Step 3: Cross multiply
    27,106.79x = 40,651.97 × 7,382.78
  4. Step 4: Simplify right side
    27,106.79x = 300,124,310.90
  5. Step 5: Solve for x
    x = 300,124,310.90/27,106.79
  6. Step 6: Final answer
    x = 11,071.93

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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.