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Finding the Fourth Proportional to 7,856.46, 11,791.71 and 4,161.24

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Solution

The fourth proportional to 7,856.46, 11,791.71 and 4,161.24 is: 6,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.46 : 11,791.71 = 4,161.24 : x
  2. Step 2: Convert to fraction form
    7,856.46/11,791.71 = 4,161.24/x
  3. Step 3: Cross multiply
    7,856.46x = 11,791.71 × 4,161.24
  4. Step 4: Simplify right side
    7,856.46x = 49,068,135.32
  5. Step 5: Solve for x
    x = 49,068,135.32/7,856.46
  6. Step 6: Final answer
    x = 6,245.58

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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.