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Finding the Fourth Proportional to 8,563.47, 11,816.94 and 5,205.82

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Solution

The fourth proportional to 8,563.47, 11,816.94 and 5,205.82 is: 7,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.47 : 11,816.94 = 5,205.82 : x
  2. Step 2: Convert to fraction form
    8,563.47/11,816.94 = 5,205.82/x
  3. Step 3: Cross multiply
    8,563.47x = 11,816.94 × 5,205.82
  4. Step 4: Simplify right side
    8,563.47x = 61,516,845.44
  5. Step 5: Solve for x
    x = 61,516,845.44/8,563.47
  6. Step 6: Final answer
    x = 7,183.63

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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.