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Finding the Fourth Proportional to 7,431.01, 10,255.92 and 4,743.38

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Solution

The fourth proportional to 7,431.01, 10,255.92 and 4,743.38 is: 6,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.01 : 10,255.92 = 4,743.38 : x
  2. Step 2: Convert to fraction form
    7,431.01/10,255.92 = 4,743.38/x
  3. Step 3: Cross multiply
    7,431.01x = 10,255.92 × 4,743.38
  4. Step 4: Simplify right side
    7,431.01x = 48,647,675.97
  5. Step 5: Solve for x
    x = 48,647,675.97/7,431.01
  6. Step 6: Final answer
    x = 6,546.58

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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.