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Finding the Fourth Proportional to 8,137.61, 12,205.78 and 3,207.29

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Solution

The fourth proportional to 8,137.61, 12,205.78 and 3,207.29 is: 4,810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.61 : 12,205.78 = 3,207.29 : x
  2. Step 2: Convert to fraction form
    8,137.61/12,205.78 = 3,207.29/x
  3. Step 3: Cross multiply
    8,137.61x = 12,205.78 × 3,207.29
  4. Step 4: Simplify right side
    8,137.61x = 39,147,407.09
  5. Step 5: Solve for x
    x = 39,147,407.09/8,137.61
  6. Step 6: Final answer
    x = 4,810.68

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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.