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Finding the Fourth Proportional to 6,704.46, 10,062.96 and 3,419.91

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Solution

The fourth proportional to 6,704.46, 10,062.96 and 3,419.91 is: 5,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.46 : 10,062.96 = 3,419.91 : x
  2. Step 2: Convert to fraction form
    6,704.46/10,062.96 = 3,419.91/x
  3. Step 3: Cross multiply
    6,704.46x = 10,062.96 × 3,419.91
  4. Step 4: Simplify right side
    6,704.46x = 34,414,417.53
  5. Step 5: Solve for x
    x = 34,414,417.53/6,704.46
  6. Step 6: Final answer
    x = 5,133.06

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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.