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Finding the Fourth Proportional to 6,794.32, 10,190.94 and 2,114.20

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Solution

The fourth proportional to 6,794.32, 10,190.94 and 2,114.20 is: 3,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.32 : 10,190.94 = 2,114.20 : x
  2. Step 2: Convert to fraction form
    6,794.32/10,190.94 = 2,114.20/x
  3. Step 3: Cross multiply
    6,794.32x = 10,190.94 × 2,114.20
  4. Step 4: Simplify right side
    6,794.32x = 21,545,685.35
  5. Step 5: Solve for x
    x = 21,545,685.35/6,794.32
  6. Step 6: Final answer
    x = 3,171.13

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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.