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Finding the Fourth Proportional to 8,534.74, 12,793.31 and 3,268.31

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Solution

The fourth proportional to 8,534.74, 12,793.31 and 3,268.31 is: 4,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.74 : 12,793.31 = 3,268.31 : x
  2. Step 2: Convert to fraction form
    8,534.74/12,793.31 = 3,268.31/x
  3. Step 3: Cross multiply
    8,534.74x = 12,793.31 × 3,268.31
  4. Step 4: Simplify right side
    8,534.74x = 41,812,454.68
  5. Step 5: Solve for x
    x = 41,812,454.68/8,534.74
  6. Step 6: Final answer
    x = 4,899.09

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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.