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Finding the Fourth Proportional to 8,408.10, 12,611.69 and 2,564.25

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Solution

The fourth proportional to 8,408.10, 12,611.69 and 2,564.25 is: 3,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.10 : 12,611.69 = 2,564.25 : x
  2. Step 2: Convert to fraction form
    8,408.10/12,611.69 = 2,564.25/x
  3. Step 3: Cross multiply
    8,408.10x = 12,611.69 × 2,564.25
  4. Step 4: Simplify right side
    8,408.10x = 32,339,532.49
  5. Step 5: Solve for x
    x = 32,339,532.49/8,408.10
  6. Step 6: Final answer
    x = 3,846.24

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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.