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Finding the Fourth Proportional to 6,736.62, 10,106.93 and 3,452.02

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Solution

The fourth proportional to 6,736.62, 10,106.93 and 3,452.02 is: 5,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.62 : 10,106.93 = 3,452.02 : x
  2. Step 2: Convert to fraction form
    6,736.62/10,106.93 = 3,452.02/x
  3. Step 3: Cross multiply
    6,736.62x = 10,106.93 × 3,452.02
  4. Step 4: Simplify right side
    6,736.62x = 34,889,324.50
  5. Step 5: Solve for x
    x = 34,889,324.50/6,736.62
  6. Step 6: Final answer
    x = 5,179.05

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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.