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Finding the Fourth Proportional to 8,396.75, 12,586.91 and 3,469.83

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Solution

The fourth proportional to 8,396.75, 12,586.91 and 3,469.83 is: 5,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.75 : 12,586.91 = 3,469.83 : x
  2. Step 2: Convert to fraction form
    8,396.75/12,586.91 = 3,469.83/x
  3. Step 3: Cross multiply
    8,396.75x = 12,586.91 × 3,469.83
  4. Step 4: Simplify right side
    8,396.75x = 43,674,437.93
  5. Step 5: Solve for x
    x = 43,674,437.93/8,396.75
  6. Step 6: Final answer
    x = 5,201.35

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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.