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Finding the Fourth Proportional to 8,406.14, 12,611.08 and 2,563.20

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Solution

The fourth proportional to 8,406.14, 12,611.08 and 2,563.20 is: 3,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.14 : 12,611.08 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    8,406.14/12,611.08 = 2,563.20/x
  3. Step 3: Cross multiply
    8,406.14x = 12,611.08 × 2,563.20
  4. Step 4: Simplify right side
    8,406.14x = 32,324,720.26
  5. Step 5: Solve for x
    x = 32,324,720.26/8,406.14
  6. Step 6: Final answer
    x = 3,845.37

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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.