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Finding the Fourth Proportional to 6,769.20, 10,146.60 and 2,607.60

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Solution

The fourth proportional to 6,769.20, 10,146.60 and 2,607.60 is: 3,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.20 : 10,146.60 = 2,607.60 : x
  2. Step 2: Convert to fraction form
    6,769.20/10,146.60 = 2,607.60/x
  3. Step 3: Cross multiply
    6,769.20x = 10,146.60 × 2,607.60
  4. Step 4: Simplify right side
    6,769.20x = 26,458,274.16
  5. Step 5: Solve for x
    x = 26,458,274.16/6,769.20
  6. Step 6: Final answer
    x = 3,908.63

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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.