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Finding the Fourth Proportional to 10,279, 14,186.94 and 5,863

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Solution

The fourth proportional to 10,279, 14,186.94 and 5,863 is: 8,092.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279 : 14,186.94 = 5,863 : x
  2. Step 2: Convert to fraction form
    10,279/14,186.94 = 5,863/x
  3. Step 3: Cross multiply
    10,279x = 14,186.94 × 5,863
  4. Step 4: Simplify right side
    10,279x = 83,178,029.22
  5. Step 5: Solve for x
    x = 83,178,029.22/10,279
  6. Step 6: Final answer
    x = 8,092.04

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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.