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Finding the Fourth Proportional to 8,021.20, 12,015.60 and 6,563.20

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Solution

The fourth proportional to 8,021.20, 12,015.60 and 6,563.20 is: 9,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.20 : 12,015.60 = 6,563.20 : x
  2. Step 2: Convert to fraction form
    8,021.20/12,015.60 = 6,563.20/x
  3. Step 3: Cross multiply
    8,021.20x = 12,015.60 × 6,563.20
  4. Step 4: Simplify right side
    8,021.20x = 78,860,785.92
  5. Step 5: Solve for x
    x = 78,860,785.92/8,021.20
  6. Step 6: Final answer
    x = 9,831.54

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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.