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Finding the Fourth Proportional to 8,273.13, 12,410.30 and 3,079

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Solution

The fourth proportional to 8,273.13, 12,410.30 and 3,079 is: 4,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.13 : 12,410.30 = 3,079 : x
  2. Step 2: Convert to fraction form
    8,273.13/12,410.30 = 3,079/x
  3. Step 3: Cross multiply
    8,273.13x = 12,410.30 × 3,079
  4. Step 4: Simplify right side
    8,273.13x = 38,211,313.70
  5. Step 5: Solve for x
    x = 38,211,313.70/8,273.13
  6. Step 6: Final answer
    x = 4,618.73

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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.