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Finding the Fourth Proportional to 7,351, 10,144.46 and 4,039

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Solution

The fourth proportional to 7,351, 10,144.46 and 4,039 is: 5,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351 : 10,144.46 = 4,039 : x
  2. Step 2: Convert to fraction form
    7,351/10,144.46 = 4,039/x
  3. Step 3: Cross multiply
    7,351x = 10,144.46 × 4,039
  4. Step 4: Simplify right side
    7,351x = 40,973,473.94
  5. Step 5: Solve for x
    x = 40,973,473.94/7,351
  6. Step 6: Final answer
    x = 5,573.86

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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.