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Finding the Fourth Proportional to 6,994.28, 10,485.84 and 3,294.56

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Solution

The fourth proportional to 6,994.28, 10,485.84 and 3,294.56 is: 4,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.28 : 10,485.84 = 3,294.56 : x
  2. Step 2: Convert to fraction form
    6,994.28/10,485.84 = 3,294.56/x
  3. Step 3: Cross multiply
    6,994.28x = 10,485.84 × 3,294.56
  4. Step 4: Simplify right side
    6,994.28x = 34,546,229.03
  5. Step 5: Solve for x
    x = 34,546,229.03/6,994.28
  6. Step 6: Final answer
    x = 4,939.21

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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.