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Finding the Fourth Proportional to 6,920.68, 10,380.75 and 1,990.30

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Solution

The fourth proportional to 6,920.68, 10,380.75 and 1,990.30 is: 2,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.68 : 10,380.75 = 1,990.30 : x
  2. Step 2: Convert to fraction form
    6,920.68/10,380.75 = 1,990.30/x
  3. Step 3: Cross multiply
    6,920.68x = 10,380.75 × 1,990.30
  4. Step 4: Simplify right side
    6,920.68x = 20,660,806.73
  5. Step 5: Solve for x
    x = 20,660,806.73/6,920.68
  6. Step 6: Final answer
    x = 2,985.37

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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.