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Finding the Fourth Proportional to 8,206.80, 12,312.24 and 3,012.72

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Solution

The fourth proportional to 8,206.80, 12,312.24 and 3,012.72 is: 4,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.80 : 12,312.24 = 3,012.72 : x
  2. Step 2: Convert to fraction form
    8,206.80/12,312.24 = 3,012.72/x
  3. Step 3: Cross multiply
    8,206.80x = 12,312.24 × 3,012.72
  4. Step 4: Simplify right side
    8,206.80x = 37,093,331.69
  5. Step 5: Solve for x
    x = 37,093,331.69/8,206.80
  6. Step 6: Final answer
    x = 4,519.83

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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.