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Finding the Fourth Proportional to 8,219.94, 12,331.25 and 4,523.90

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Solution

The fourth proportional to 8,219.94, 12,331.25 and 4,523.90 is: 6,786.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.94 : 12,331.25 = 4,523.90 : x
  2. Step 2: Convert to fraction form
    8,219.94/12,331.25 = 4,523.90/x
  3. Step 3: Cross multiply
    8,219.94x = 12,331.25 × 4,523.90
  4. Step 4: Simplify right side
    8,219.94x = 55,785,341.88
  5. Step 5: Solve for x
    x = 55,785,341.88/8,219.94
  6. Step 6: Final answer
    x = 6,786.59

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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.