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Finding the Fourth Proportional to 8,135.74, 12,199.29 and 3,205.18

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Solution

The fourth proportional to 8,135.74, 12,199.29 and 3,205.18 is: 4,806.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.74 : 12,199.29 = 3,205.18 : x
  2. Step 2: Convert to fraction form
    8,135.74/12,199.29 = 3,205.18/x
  3. Step 3: Cross multiply
    8,135.74x = 12,199.29 × 3,205.18
  4. Step 4: Simplify right side
    8,135.74x = 39,100,920.32
  5. Step 5: Solve for x
    x = 39,100,920.32/8,135.74
  6. Step 6: Final answer
    x = 4,806.07

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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.