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Finding the Fourth Proportional to 8,070.23, 12,106.50 and 3,906.82

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Solution

The fourth proportional to 8,070.23, 12,106.50 and 3,906.82 is: 5,860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.23 : 12,106.50 = 3,906.82 : x
  2. Step 2: Convert to fraction form
    8,070.23/12,106.50 = 3,906.82/x
  3. Step 3: Cross multiply
    8,070.23x = 12,106.50 × 3,906.82
  4. Step 4: Simplify right side
    8,070.23x = 47,297,855.80
  5. Step 5: Solve for x
    x = 47,297,855.80/8,070.23
  6. Step 6: Final answer
    x = 5,860.78

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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.