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Finding the Fourth Proportional to 6,704.62, 10,062.38 and 3,418.64

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Solution

The fourth proportional to 6,704.62, 10,062.38 and 3,418.64 is: 5,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.62 : 10,062.38 = 3,418.64 : x
  2. Step 2: Convert to fraction form
    6,704.62/10,062.38 = 3,418.64/x
  3. Step 3: Cross multiply
    6,704.62x = 10,062.38 × 3,418.64
  4. Step 4: Simplify right side
    6,704.62x = 34,399,654.76
  5. Step 5: Solve for x
    x = 34,399,654.76/6,704.62
  6. Step 6: Final answer
    x = 5,130.74

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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.