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Finding the Fourth Proportional to 8,594.83, 12,896.07 and 3,667.60

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Solution

The fourth proportional to 8,594.83, 12,896.07 and 3,667.60 is: 5,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.83 : 12,896.07 = 3,667.60 : x
  2. Step 2: Convert to fraction form
    8,594.83/12,896.07 = 3,667.60/x
  3. Step 3: Cross multiply
    8,594.83x = 12,896.07 × 3,667.60
  4. Step 4: Simplify right side
    8,594.83x = 47,297,626.33
  5. Step 5: Solve for x
    x = 47,297,626.33/8,594.83
  6. Step 6: Final answer
    x = 5,503.03

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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.