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Finding the Fourth Proportional to 8,120.32, 12,180.24 and 7,021.48

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Solution

The fourth proportional to 8,120.32, 12,180.24 and 7,021.48 is: 10,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.32 : 12,180.24 = 7,021.48 : x
  2. Step 2: Convert to fraction form
    8,120.32/12,180.24 = 7,021.48/x
  3. Step 3: Cross multiply
    8,120.32x = 12,180.24 × 7,021.48
  4. Step 4: Simplify right side
    8,120.32x = 85,523,311.56
  5. Step 5: Solve for x
    x = 85,523,311.56/8,120.32
  6. Step 6: Final answer
    x = 10,532.01

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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.