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Finding the Fourth Proportional to 8,382.35, 11,568.56 and 5,194.80

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Solution

The fourth proportional to 8,382.35, 11,568.56 and 5,194.80 is: 7,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.35 : 11,568.56 = 5,194.80 : x
  2. Step 2: Convert to fraction form
    8,382.35/11,568.56 = 5,194.80/x
  3. Step 3: Cross multiply
    8,382.35x = 11,568.56 × 5,194.80
  4. Step 4: Simplify right side
    8,382.35x = 60,096,329.51
  5. Step 5: Solve for x
    x = 60,096,329.51/8,382.35
  6. Step 6: Final answer
    x = 7,169.39

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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.