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Finding the Fourth Proportional to 6,772.74, 10,159.61 and 1,842.42

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Solution

The fourth proportional to 6,772.74, 10,159.61 and 1,842.42 is: 2,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.74 : 10,159.61 = 1,842.42 : x
  2. Step 2: Convert to fraction form
    6,772.74/10,159.61 = 1,842.42/x
  3. Step 3: Cross multiply
    6,772.74x = 10,159.61 × 1,842.42
  4. Step 4: Simplify right side
    6,772.74x = 18,718,217.86
  5. Step 5: Solve for x
    x = 18,718,217.86/6,772.74
  6. Step 6: Final answer
    x = 2,763.76

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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.