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Finding the Fourth Proportional to 6,729.93, 10,093.70 and 2,048.81

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Solution

The fourth proportional to 6,729.93, 10,093.70 and 2,048.81 is: 3,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.93 : 10,093.70 = 2,048.81 : x
  2. Step 2: Convert to fraction form
    6,729.93/10,093.70 = 2,048.81/x
  3. Step 3: Cross multiply
    6,729.93x = 10,093.70 × 2,048.81
  4. Step 4: Simplify right side
    6,729.93x = 20,680,012.78
  5. Step 5: Solve for x
    x = 20,680,012.78/6,729.93
  6. Step 6: Final answer
    x = 3,072.84

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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.