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Finding the Fourth Proportional to 8,350, 11,524.28 and 5,039.92

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Solution

The fourth proportional to 8,350, 11,524.28 and 5,039.92 is: 6,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,350 : 11,524.28 = 5,039.92 : x
  2. Step 2: Convert to fraction form
    8,350/11,524.28 = 5,039.92/x
  3. Step 3: Cross multiply
    8,350x = 11,524.28 × 5,039.92
  4. Step 4: Simplify right side
    8,350x = 58,081,449.26
  5. Step 5: Solve for x
    x = 58,081,449.26/8,350
  6. Step 6: Final answer
    x = 6,955.86

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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.