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Finding the Fourth Proportional to 7,182.58, 10,773.84 and 2,251.78

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Solution

The fourth proportional to 7,182.58, 10,773.84 and 2,251.78 is: 3,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.58 : 10,773.84 = 2,251.78 : x
  2. Step 2: Convert to fraction form
    7,182.58/10,773.84 = 2,251.78/x
  3. Step 3: Cross multiply
    7,182.58x = 10,773.84 × 2,251.78
  4. Step 4: Simplify right side
    7,182.58x = 24,260,317.44
  5. Step 5: Solve for x
    x = 24,260,317.44/7,182.58
  6. Step 6: Final answer
    x = 3,377.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.