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Finding the Fourth Proportional to 8,285.11, 12,429.50 and 3,845.50

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Solution

The fourth proportional to 8,285.11, 12,429.50 and 3,845.50 is: 5,769.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.11 : 12,429.50 = 3,845.50 : x
  2. Step 2: Convert to fraction form
    8,285.11/12,429.50 = 3,845.50/x
  3. Step 3: Cross multiply
    8,285.11x = 12,429.50 × 3,845.50
  4. Step 4: Simplify right side
    8,285.11x = 47,797,591.95
  5. Step 5: Solve for x
    x = 47,797,591.95/8,285.11
  6. Step 6: Final answer
    x = 5,769.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.