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Finding the Fourth Proportional to 8,568.72, 11,884.86 and 8,218.80

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Solution

The fourth proportional to 8,568.72, 11,884.86 and 8,218.80 is: 11,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568.72 : 11,884.86 = 8,218.80 : x
  2. Step 2: Convert to fraction form
    8,568.72/11,884.86 = 8,218.80/x
  3. Step 3: Cross multiply
    8,568.72x = 11,884.86 × 8,218.80
  4. Step 4: Simplify right side
    8,568.72x = 97,679,287.37
  5. Step 5: Solve for x
    x = 97,679,287.37/8,568.72
  6. Step 6: Final answer
    x = 11,399.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.