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Finding the Fourth Proportional to 8,562.28, 12,843.42 and 2,322.30

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Solution

The fourth proportional to 8,562.28, 12,843.42 and 2,322.30 is: 3,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,562.28 : 12,843.42 = 2,322.30 : x
  2. Step 2: Convert to fraction form
    8,562.28/12,843.42 = 2,322.30/x
  3. Step 3: Cross multiply
    8,562.28x = 12,843.42 × 2,322.30
  4. Step 4: Simplify right side
    8,562.28x = 29,826,274.27
  5. Step 5: Solve for x
    x = 29,826,274.27/8,562.28
  6. Step 6: Final answer
    x = 3,483.45

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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.