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Finding the Fourth Proportional to 8,209.90, 12,311.61 and 3,012.94

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Solution

The fourth proportional to 8,209.90, 12,311.61 and 3,012.94 is: 4,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.90 : 12,311.61 = 3,012.94 : x
  2. Step 2: Convert to fraction form
    8,209.90/12,311.61 = 3,012.94/x
  3. Step 3: Cross multiply
    8,209.90x = 12,311.61 × 3,012.94
  4. Step 4: Simplify right side
    8,209.90x = 37,094,142.23
  5. Step 5: Solve for x
    x = 37,094,142.23/8,209.90
  6. Step 6: Final answer
    x = 4,518.22

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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.