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Finding the Fourth Proportional to 8,183.94, 12,275.96 and 3,500.01

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Solution

The fourth proportional to 8,183.94, 12,275.96 and 3,500.01 is: 5,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.94 : 12,275.96 = 3,500.01 : x
  2. Step 2: Convert to fraction form
    8,183.94/12,275.96 = 3,500.01/x
  3. Step 3: Cross multiply
    8,183.94x = 12,275.96 × 3,500.01
  4. Step 4: Simplify right side
    8,183.94x = 42,965,965.26
  5. Step 5: Solve for x
    x = 42,965,965.26/8,183.94
  6. Step 6: Final answer
    x = 5,250.04

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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.