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Finding the Fourth Proportional to 7,957.43, 11,942.22 and 4,012.63

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Solution

The fourth proportional to 7,957.43, 11,942.22 and 4,012.63 is: 6,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.43 : 11,942.22 = 4,012.63 : x
  2. Step 2: Convert to fraction form
    7,957.43/11,942.22 = 4,012.63/x
  3. Step 3: Cross multiply
    7,957.43x = 11,942.22 × 4,012.63
  4. Step 4: Simplify right side
    7,957.43x = 47,919,710.24
  5. Step 5: Solve for x
    x = 47,919,710.24/7,957.43
  6. Step 6: Final answer
    x = 6,022.01

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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.