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Finding the Fourth Proportional to 8,238.38, 11,369.57 and 5,095.17

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Solution

The fourth proportional to 8,238.38, 11,369.57 and 5,095.17 is: 7,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.38 : 11,369.57 = 5,095.17 : x
  2. Step 2: Convert to fraction form
    8,238.38/11,369.57 = 5,095.17/x
  3. Step 3: Cross multiply
    8,238.38x = 11,369.57 × 5,095.17
  4. Step 4: Simplify right side
    8,238.38x = 57,929,866.50
  5. Step 5: Solve for x
    x = 57,929,866.50/8,238.38
  6. Step 6: Final answer
    x = 7,031.71

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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.