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Finding the Fourth Proportional to 10,847, 14,968.92 and 5,879

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Solution

The fourth proportional to 10,847, 14,968.92 and 5,879 is: 8,113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847 : 14,968.92 = 5,879 : x
  2. Step 2: Convert to fraction form
    10,847/14,968.92 = 5,879/x
  3. Step 3: Cross multiply
    10,847x = 14,968.92 × 5,879
  4. Step 4: Simplify right side
    10,847x = 88,002,280.68
  5. Step 5: Solve for x
    x = 88,002,280.68/10,847
  6. Step 6: Final answer
    x = 8,113.05

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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.