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Finding the Fourth Proportional to 8,414.09, 12,619.38 and 2,867.39

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Solution

The fourth proportional to 8,414.09, 12,619.38 and 2,867.39 is: 4,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.09 : 12,619.38 = 2,867.39 : x
  2. Step 2: Convert to fraction form
    8,414.09/12,619.38 = 2,867.39/x
  3. Step 3: Cross multiply
    8,414.09x = 12,619.38 × 2,867.39
  4. Step 4: Simplify right side
    8,414.09x = 36,184,684.02
  5. Step 5: Solve for x
    x = 36,184,684.02/8,414.09
  6. Step 6: Final answer
    x = 4,300.49

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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.