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Finding the Fourth Proportional to 6,763.15, 10,144.74 and 1,832.80

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Solution

The fourth proportional to 6,763.15, 10,144.74 and 1,832.80 is: 2,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.15 : 10,144.74 = 1,832.80 : x
  2. Step 2: Convert to fraction form
    6,763.15/10,144.74 = 1,832.80/x
  3. Step 3: Cross multiply
    6,763.15x = 10,144.74 × 1,832.80
  4. Step 4: Simplify right side
    6,763.15x = 18,593,279.47
  5. Step 5: Solve for x
    x = 18,593,279.47/6,763.15
  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.