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Finding the Fourth Proportional to 8,211.61, 12,311.25 and 5,086.84

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Solution

The fourth proportional to 8,211.61, 12,311.25 and 5,086.84 is: 7,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.61 : 12,311.25 = 5,086.84 : x
  2. Step 2: Convert to fraction form
    8,211.61/12,311.25 = 5,086.84/x
  3. Step 3: Cross multiply
    8,211.61x = 12,311.25 × 5,086.84
  4. Step 4: Simplify right side
    8,211.61x = 62,625,358.95
  5. Step 5: Solve for x
    x = 62,625,358.95/8,211.61
  6. Step 6: Final answer
    x = 7,626.44

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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.