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Finding the Fourth Proportional to 8,534.99, 12,793.68 and 3,268.56

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Solution

The fourth proportional to 8,534.99, 12,793.68 and 3,268.56 is: 4,899.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.99 : 12,793.68 = 3,268.56 : x
  2. Step 2: Convert to fraction form
    8,534.99/12,793.68 = 3,268.56/x
  3. Step 3: Cross multiply
    8,534.99x = 12,793.68 × 3,268.56
  4. Step 4: Simplify right side
    8,534.99x = 41,816,910.70
  5. Step 5: Solve for x
    x = 41,816,910.70/8,534.99
  6. Step 6: Final answer
    x = 4,899.47

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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.