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Finding the Fourth Proportional to 8,563.16, 11,817.61 and 5,205.43

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Solution

The fourth proportional to 8,563.16, 11,817.61 and 5,205.43 is: 7,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.16 : 11,817.61 = 5,205.43 : x
  2. Step 2: Convert to fraction form
    8,563.16/11,817.61 = 5,205.43/x
  3. Step 3: Cross multiply
    8,563.16x = 11,817.61 × 5,205.43
  4. Step 4: Simplify right side
    8,563.16x = 61,515,682.53
  5. Step 5: Solve for x
    x = 61,515,682.53/8,563.16
  6. Step 6: Final answer
    x = 7,183.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.