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Finding the Fourth Proportional to 8,679.64, 12,993.86 and 5,382.12

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Solution

The fourth proportional to 8,679.64, 12,993.86 and 5,382.12 is: 8,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.64 : 12,993.86 = 5,382.12 : x
  2. Step 2: Convert to fraction form
    8,679.64/12,993.86 = 5,382.12/x
  3. Step 3: Cross multiply
    8,679.64x = 12,993.86 × 5,382.12
  4. Step 4: Simplify right side
    8,679.64x = 69,934,513.78
  5. Step 5: Solve for x
    x = 69,934,513.78/8,679.64
  6. Step 6: Final answer
    x = 8,057.31

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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.