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Finding the Fourth Proportional to 6,937.62, 10,396.11 and 4,161.05

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Solution

The fourth proportional to 6,937.62, 10,396.11 and 4,161.05 is: 6,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.62 : 10,396.11 = 4,161.05 : x
  2. Step 2: Convert to fraction form
    6,937.62/10,396.11 = 4,161.05/x
  3. Step 3: Cross multiply
    6,937.62x = 10,396.11 × 4,161.05
  4. Step 4: Simplify right side
    6,937.62x = 43,258,681.53
  5. Step 5: Solve for x
    x = 43,258,681.53/6,937.62
  6. Step 6: Final answer
    x = 6,235.38

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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.