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Finding the Fourth Proportional to 8,142.27, 12,214.23 and 2,219.28

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Solution

The fourth proportional to 8,142.27, 12,214.23 and 2,219.28 is: 3,329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.27 : 12,214.23 = 2,219.28 : x
  2. Step 2: Convert to fraction form
    8,142.27/12,214.23 = 2,219.28/x
  3. Step 3: Cross multiply
    8,142.27x = 12,214.23 × 2,219.28
  4. Step 4: Simplify right side
    8,142.27x = 27,106,796.35
  5. Step 5: Solve for x
    x = 27,106,796.35/8,142.27
  6. Step 6: Final answer
    x = 3,329.14

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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.