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Finding the Fourth Proportional to 6,796.74, 10,194.33 and 2,117.10

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Solution

The fourth proportional to 6,796.74, 10,194.33 and 2,117.10 is: 3,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796.74 : 10,194.33 = 2,117.10 : x
  2. Step 2: Convert to fraction form
    6,796.74/10,194.33 = 2,117.10/x
  3. Step 3: Cross multiply
    6,796.74x = 10,194.33 × 2,117.10
  4. Step 4: Simplify right side
    6,796.74x = 21,582,416.04
  5. Step 5: Solve for x
    x = 21,582,416.04/6,796.74
  6. Step 6: Final answer
    x = 3,175.41

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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.