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Finding the Fourth Proportional to 6,729.53, 10,089.72 and 3,439.94

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Solution

The fourth proportional to 6,729.53, 10,089.72 and 3,439.94 is: 5,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.53 : 10,089.72 = 3,439.94 : x
  2. Step 2: Convert to fraction form
    6,729.53/10,089.72 = 3,439.94/x
  3. Step 3: Cross multiply
    6,729.53x = 10,089.72 × 3,439.94
  4. Step 4: Simplify right side
    6,729.53x = 34,707,980.97
  5. Step 5: Solve for x
    x = 34,707,980.97/6,729.53
  6. Step 6: Final answer
    x = 5,157.57

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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.