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Finding the Fourth Proportional to 7,367, 10,168 and 4,853.16

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Solution

The fourth proportional to 7,367, 10,168 and 4,853.16 is: 6,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,367 : 10,168 = 4,853.16 : x
  2. Step 2: Convert to fraction form
    7,367/10,168 = 4,853.16/x
  3. Step 3: Cross multiply
    7,367x = 10,168 × 4,853.16
  4. Step 4: Simplify right side
    7,367x = 49,346,930.88
  5. Step 5: Solve for x
    x = 49,346,930.88/7,367
  6. Step 6: Final answer
    x = 6,698.38

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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.