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Finding the Fourth Proportional to 7,331, 10,116.78 and 4,019

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Solution

The fourth proportional to 7,331, 10,116.78 and 4,019 is: 5,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331 : 10,116.78 = 4,019 : x
  2. Step 2: Convert to fraction form
    7,331/10,116.78 = 4,019/x
  3. Step 3: Cross multiply
    7,331x = 10,116.78 × 4,019
  4. Step 4: Simplify right side
    7,331x = 40,659,338.82
  5. Step 5: Solve for x
    x = 40,659,338.82/7,331
  6. Step 6: Final answer
    x = 5,546.22

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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.