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Finding the Fourth Proportional to 6,767.70, 10,151.55 and 1,838.07

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Solution

The fourth proportional to 6,767.70, 10,151.55 and 1,838.07 is: 2,757.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.70 : 10,151.55 = 1,838.07 : x
  2. Step 2: Convert to fraction form
    6,767.70/10,151.55 = 1,838.07/x
  3. Step 3: Cross multiply
    6,767.70x = 10,151.55 × 1,838.07
  4. Step 4: Simplify right side
    6,767.70x = 18,659,199.56
  5. Step 5: Solve for x
    x = 18,659,199.56/6,767.70
  6. Step 6: Final answer
    x = 2,757.10

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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.