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Finding the Fourth Proportional to 8,121.32, 12,181.74 and 7,022.48

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Solution

The fourth proportional to 8,121.32, 12,181.74 and 7,022.48 is: 10,533.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.32 : 12,181.74 = 7,022.48 : x
  2. Step 2: Convert to fraction form
    8,121.32/12,181.74 = 7,022.48/x
  3. Step 3: Cross multiply
    8,121.32x = 12,181.74 × 7,022.48
  4. Step 4: Simplify right side
    8,121.32x = 85,546,025.52
  5. Step 5: Solve for x
    x = 85,546,025.52/8,121.32
  6. Step 6: Final answer
    x = 10,533.51

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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.