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Finding the Fourth Proportional to 8,319.26, 12,489.78 and 5,563.64

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Solution

The fourth proportional to 8,319.26, 12,489.78 and 5,563.64 is: 8,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.26 : 12,489.78 = 5,563.64 : x
  2. Step 2: Convert to fraction form
    8,319.26/12,489.78 = 5,563.64/x
  3. Step 3: Cross multiply
    8,319.26x = 12,489.78 × 5,563.64
  4. Step 4: Simplify right side
    8,319.26x = 69,488,577.15
  5. Step 5: Solve for x
    x = 69,488,577.15/8,319.26
  6. Step 6: Final answer
    x = 8,352.74

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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.