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Finding the Fourth Proportional to 6,920.15, 10,380.17 and 1,989.77

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Solution

The fourth proportional to 6,920.15, 10,380.17 and 1,989.77 is: 2,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.15 : 10,380.17 = 1,989.77 : x
  2. Step 2: Convert to fraction form
    6,920.15/10,380.17 = 1,989.77/x
  3. Step 3: Cross multiply
    6,920.15x = 10,380.17 × 1,989.77
  4. Step 4: Simplify right side
    6,920.15x = 20,654,181.79
  5. Step 5: Solve for x
    x = 20,654,181.79/6,920.15
  6. Step 6: Final answer
    x = 2,984.64

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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.