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Finding the Fourth Proportional to 27,891.32, 41,836.98 and 7,114.82

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Solution

The fourth proportional to 27,891.32, 41,836.98 and 7,114.82 is: 10,672.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891.32 : 41,836.98 = 7,114.82 : x
  2. Step 2: Convert to fraction form
    27,891.32/41,836.98 = 7,114.82/x
  3. Step 3: Cross multiply
    27,891.32x = 41,836.98 × 7,114.82
  4. Step 4: Simplify right side
    27,891.32x = 297,662,704.42
  5. Step 5: Solve for x
    x = 297,662,704.42/27,891.32
  6. Step 6: Final answer
    x = 10,672.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.