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Finding the Fourth Proportional to 8,568.43, 11,816.74 and 5,382.02

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Solution

The fourth proportional to 8,568.43, 11,816.74 and 5,382.02 is: 7,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.43 : 11,816.74 = 5,382.02 : x
  2. Step 2: Convert to fraction form
    8,568.43/11,816.74 = 5,382.02/x
  3. Step 3: Cross multiply
    8,568.43x = 11,816.74 × 5,382.02
  4. Step 4: Simplify right side
    8,568.43x = 63,597,967.28
  5. Step 5: Solve for x
    x = 63,597,967.28/8,568.43
  6. Step 6: Final answer
    x = 7,422.36

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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.