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Finding the Fourth Proportional to 8,219.26, 12,326.46 and 3,023.92

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Solution

The fourth proportional to 8,219.26, 12,326.46 and 3,023.92 is: 4,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.26 : 12,326.46 = 3,023.92 : x
  2. Step 2: Convert to fraction form
    8,219.26/12,326.46 = 3,023.92/x
  3. Step 3: Cross multiply
    8,219.26x = 12,326.46 × 3,023.92
  4. Step 4: Simplify right side
    8,219.26x = 37,274,228.92
  5. Step 5: Solve for x
    x = 37,274,228.92/8,219.26
  6. Step 6: Final answer
    x = 4,534.99

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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.