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Finding the Fourth Proportional to 8,449.59, 12,671.19 and 2,826.09

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Solution

The fourth proportional to 8,449.59, 12,671.19 and 2,826.09 is: 4,238.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.59 : 12,671.19 = 2,826.09 : x
  2. Step 2: Convert to fraction form
    8,449.59/12,671.19 = 2,826.09/x
  3. Step 3: Cross multiply
    8,449.59x = 12,671.19 × 2,826.09
  4. Step 4: Simplify right side
    8,449.59x = 35,809,923.35
  5. Step 5: Solve for x
    x = 35,809,923.35/8,449.59
  6. Step 6: Final answer
    x = 4,238.07

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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.