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Finding the Fourth Proportional to 8,223.80, 12,311.40 and 7,251.80

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Solution

The fourth proportional to 8,223.80, 12,311.40 and 7,251.80 is: 10,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.80 : 12,311.40 = 7,251.80 : x
  2. Step 2: Convert to fraction form
    8,223.80/12,311.40 = 7,251.80/x
  3. Step 3: Cross multiply
    8,223.80x = 12,311.40 × 7,251.80
  4. Step 4: Simplify right side
    8,223.80x = 89,279,810.52
  5. Step 5: Solve for x
    x = 89,279,810.52/8,223.80
  6. Step 6: Final answer
    x = 10,856.27

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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.