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Finding the Fourth Proportional to 6,772.85, 10,159.21 and 1,842.41

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Solution

The fourth proportional to 6,772.85, 10,159.21 and 1,842.41 is: 2,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.85 : 10,159.21 = 1,842.41 : x
  2. Step 2: Convert to fraction form
    6,772.85/10,159.21 = 1,842.41/x
  3. Step 3: Cross multiply
    6,772.85x = 10,159.21 × 1,842.41
  4. Step 4: Simplify right side
    6,772.85x = 18,717,447.43
  5. Step 5: Solve for x
    x = 18,717,447.43/6,772.85
  6. Step 6: Final answer
    x = 2,763.60

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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.