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Finding the Fourth Proportional to 8,389.90, 12,584.85 and 8,170.66

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Solution

The fourth proportional to 8,389.90, 12,584.85 and 8,170.66 is: 12,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389.90 : 12,584.85 = 8,170.66 : x
  2. Step 2: Convert to fraction form
    8,389.90/12,584.85 = 8,170.66/x
  3. Step 3: Cross multiply
    8,389.90x = 12,584.85 × 8,170.66
  4. Step 4: Simplify right side
    8,389.90x = 102,826,530.50
  5. Step 5: Solve for x
    x = 102,826,530.50/8,389.90
  6. Step 6: Final answer
    x = 12,255.99

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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.