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Finding the Fourth Proportional to 6,704.64, 10,059.36 and 3,418.56

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Solution

The fourth proportional to 6,704.64, 10,059.36 and 3,418.56 is: 5,129.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.64 : 10,059.36 = 3,418.56 : x
  2. Step 2: Convert to fraction form
    6,704.64/10,059.36 = 3,418.56/x
  3. Step 3: Cross multiply
    6,704.64x = 10,059.36 × 3,418.56
  4. Step 4: Simplify right side
    6,704.64x = 34,388,525.72
  5. Step 5: Solve for x
    x = 34,388,525.72/6,704.64
  6. Step 6: Final answer
    x = 5,129.06

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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.