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Finding the Fourth Proportional to 8,596.26, 12,893.67 and 3,400.74

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Solution

The fourth proportional to 8,596.26, 12,893.67 and 3,400.74 is: 5,100.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.26 : 12,893.67 = 3,400.74 : x
  2. Step 2: Convert to fraction form
    8,596.26/12,893.67 = 3,400.74/x
  3. Step 3: Cross multiply
    8,596.26x = 12,893.67 × 3,400.74
  4. Step 4: Simplify right side
    8,596.26x = 43,848,019.32
  5. Step 5: Solve for x
    x = 43,848,019.32/8,596.26
  6. Step 6: Final answer
    x = 5,100.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.