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Finding the Fourth Proportional to 8,563.44, 12,827 and 5,591.38

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Solution

The fourth proportional to 8,563.44, 12,827 and 5,591.38 is: 8,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.44 : 12,827 = 5,591.38 : x
  2. Step 2: Convert to fraction form
    8,563.44/12,827 = 5,591.38/x
  3. Step 3: Cross multiply
    8,563.44x = 12,827 × 5,591.38
  4. Step 4: Simplify right side
    8,563.44x = 71,720,631.26
  5. Step 5: Solve for x
    x = 71,720,631.26/8,563.44
  6. Step 6: Final answer
    x = 8,375.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.