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Finding the Fourth Proportional to 6,729.57, 10,094.37 and 2,049.60

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Solution

The fourth proportional to 6,729.57, 10,094.37 and 2,049.60 is: 3,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.57 : 10,094.37 = 2,049.60 : x
  2. Step 2: Convert to fraction form
    6,729.57/10,094.37 = 2,049.60/x
  3. Step 3: Cross multiply
    6,729.57x = 10,094.37 × 2,049.60
  4. Step 4: Simplify right side
    6,729.57x = 20,689,420.75
  5. Step 5: Solve for x
    x = 20,689,420.75/6,729.57
  6. Step 6: Final answer
    x = 3,074.40

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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.