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Finding the Fourth Proportional to 7,891.38, 10,889.94 and 4,306.17

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Solution

The fourth proportional to 7,891.38, 10,889.94 and 4,306.17 is: 5,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.38 : 10,889.94 = 4,306.17 : x
  2. Step 2: Convert to fraction form
    7,891.38/10,889.94 = 4,306.17/x
  3. Step 3: Cross multiply
    7,891.38x = 10,889.94 × 4,306.17
  4. Step 4: Simplify right side
    7,891.38x = 46,893,932.93
  5. Step 5: Solve for x
    x = 46,893,932.93/7,891.38
  6. Step 6: Final answer
    x = 5,942.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.