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Finding the Fourth Proportional to 6,763.14, 10,144.72 and 1,832.80

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Solution

The fourth proportional to 6,763.14, 10,144.72 and 1,832.80 is: 2,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.14 : 10,144.72 = 1,832.80 : x
  2. Step 2: Convert to fraction form
    6,763.14/10,144.72 = 1,832.80/x
  3. Step 3: Cross multiply
    6,763.14x = 10,144.72 × 1,832.80
  4. Step 4: Simplify right side
    6,763.14x = 18,593,242.82
  5. Step 5: Solve for x
    x = 18,593,242.82/6,763.14
  6. Step 6: Final answer
    x = 2,749.20

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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.