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Finding the Fourth Proportional to 7,894.42, 11,843.26 and 2,964.04

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Solution

The fourth proportional to 7,894.42, 11,843.26 and 2,964.04 is: 4,446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.42 : 11,843.26 = 2,964.04 : x
  2. Step 2: Convert to fraction form
    7,894.42/11,843.26 = 2,964.04/x
  3. Step 3: Cross multiply
    7,894.42x = 11,843.26 × 2,964.04
  4. Step 4: Simplify right side
    7,894.42x = 35,103,896.37
  5. Step 5: Solve for x
    x = 35,103,896.37/7,894.42
  6. Step 6: Final answer
    x = 4,446.67

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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.