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Finding the Fourth Proportional to 8,219.28, 12,323.13 and 2,881.15

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Solution

The fourth proportional to 8,219.28, 12,323.13 and 2,881.15 is: 4,319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.28 : 12,323.13 = 2,881.15 : x
  2. Step 2: Convert to fraction form
    8,219.28/12,323.13 = 2,881.15/x
  3. Step 3: Cross multiply
    8,219.28x = 12,323.13 × 2,881.15
  4. Step 4: Simplify right side
    8,219.28x = 35,504,786.00
  5. Step 5: Solve for x
    x = 35,504,786.00/8,219.28
  6. Step 6: Final answer
    x = 4,319.70

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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.