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Finding the Fourth Proportional to 6,753.36, 10,129.20 and 1,823.37

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Solution

The fourth proportional to 6,753.36, 10,129.20 and 1,823.37 is: 2,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,753.36 : 10,129.20 = 1,823.37 : x
  2. Step 2: Convert to fraction form
    6,753.36/10,129.20 = 1,823.37/x
  3. Step 3: Cross multiply
    6,753.36x = 10,129.20 × 1,823.37
  4. Step 4: Simplify right side
    6,753.36x = 18,469,279.40
  5. Step 5: Solve for x
    x = 18,469,279.40/6,753.36
  6. Step 6: Final answer
    x = 2,734.83

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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.