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Finding the Fourth Proportional to 7,512, 10,367.04 and 4,200

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Solution

The fourth proportional to 7,512, 10,367.04 and 4,200 is: 5,796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512 : 10,367.04 = 4,200 : x
  2. Step 2: Convert to fraction form
    7,512/10,367.04 = 4,200/x
  3. Step 3: Cross multiply
    7,512x = 10,367.04 × 4,200
  4. Step 4: Simplify right side
    7,512x = 43,541,568
  5. Step 5: Solve for x
    x = 43,541,568/7,512
  6. Step 6: Final answer
    x = 5,796.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.