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Finding the Fourth Proportional to 8,125.44, 12,205.42 and 7,651.44

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Solution

The fourth proportional to 8,125.44, 12,205.42 and 7,651.44 is: 11,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.44 : 12,205.42 = 7,651.44 : x
  2. Step 2: Convert to fraction form
    8,125.44/12,205.42 = 7,651.44/x
  3. Step 3: Cross multiply
    8,125.44x = 12,205.42 × 7,651.44
  4. Step 4: Simplify right side
    8,125.44x = 93,389,038.80
  5. Step 5: Solve for x
    x = 93,389,038.80/8,125.44
  6. Step 6: Final answer
    x = 11,493.41

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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.