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Finding the Fourth Proportional to 6,729.60, 10,094.26 and 3,029.20

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Solution

The fourth proportional to 6,729.60, 10,094.26 and 3,029.20 is: 4,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.60 : 10,094.26 = 3,029.20 : x
  2. Step 2: Convert to fraction form
    6,729.60/10,094.26 = 3,029.20/x
  3. Step 3: Cross multiply
    6,729.60x = 10,094.26 × 3,029.20
  4. Step 4: Simplify right side
    6,729.60x = 30,577,532.39
  5. Step 5: Solve for x
    x = 30,577,532.39/6,729.60
  6. Step 6: Final answer
    x = 4,543.74

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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.