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Finding the Fourth Proportional to 8,121.12, 12,157 and 5,201.46

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Solution

The fourth proportional to 8,121.12, 12,157 and 5,201.46 is: 7,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.12 : 12,157 = 5,201.46 : x
  2. Step 2: Convert to fraction form
    8,121.12/12,157 = 5,201.46/x
  3. Step 3: Cross multiply
    8,121.12x = 12,157 × 5,201.46
  4. Step 4: Simplify right side
    8,121.12x = 63,234,149.22
  5. Step 5: Solve for x
    x = 63,234,149.22/8,121.12
  6. Step 6: Final answer
    x = 7,786.38

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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.