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Finding the Fourth Proportional to 7,512.90, 10,367.38 and 4,155.49

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Solution

The fourth proportional to 7,512.90, 10,367.38 and 4,155.49 is: 5,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,512.90 : 10,367.38 = 4,155.49 : x
  2. Step 2: Convert to fraction form
    7,512.90/10,367.38 = 4,155.49/x
  3. Step 3: Cross multiply
    7,512.90x = 10,367.38 × 4,155.49
  4. Step 4: Simplify right side
    7,512.90x = 43,081,523.14
  5. Step 5: Solve for x
    x = 43,081,523.14/7,512.90
  6. Step 6: Final answer
    x = 5,734.34

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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.