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Finding the Fourth Proportional to 6,704.29, 10,055.89 and 2,754.42

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Solution

The fourth proportional to 6,704.29, 10,055.89 and 2,754.42 is: 4,131.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.29 : 10,055.89 = 2,754.42 : x
  2. Step 2: Convert to fraction form
    6,704.29/10,055.89 = 2,754.42/x
  3. Step 3: Cross multiply
    6,704.29x = 10,055.89 × 2,754.42
  4. Step 4: Simplify right side
    6,704.29x = 27,698,144.53
  5. Step 5: Solve for x
    x = 27,698,144.53/6,704.29
  6. Step 6: Final answer
    x = 4,131.41

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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.