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Finding the Fourth Proportional to 8,206.08, 12,314.01 and 3,274.98

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Solution

The fourth proportional to 8,206.08, 12,314.01 and 3,274.98 is: 4,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.08 : 12,314.01 = 3,274.98 : x
  2. Step 2: Convert to fraction form
    8,206.08/12,314.01 = 3,274.98/x
  3. Step 3: Cross multiply
    8,206.08x = 12,314.01 × 3,274.98
  4. Step 4: Simplify right side
    8,206.08x = 40,328,136.47
  5. Step 5: Solve for x
    x = 40,328,136.47/8,206.08
  6. Step 6: Final answer
    x = 4,914.42

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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.