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Finding the Fourth Proportional to 8,206.52, 12,306.77 and 2,940.12

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Solution

The fourth proportional to 8,206.52, 12,306.77 and 2,940.12 is: 4,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.52 : 12,306.77 = 2,940.12 : x
  2. Step 2: Convert to fraction form
    8,206.52/12,306.77 = 2,940.12/x
  3. Step 3: Cross multiply
    8,206.52x = 12,306.77 × 2,940.12
  4. Step 4: Simplify right side
    8,206.52x = 36,183,385.01
  5. Step 5: Solve for x
    x = 36,183,385.01/8,206.52
  6. Step 6: Final answer
    x = 4,409.10

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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.