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Finding the Fourth Proportional to 7,371, 10,172.04 and 4,059

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Solution

The fourth proportional to 7,371, 10,172.04 and 4,059 is: 5,601.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,371 : 10,172.04 = 4,059 : x
  2. Step 2: Convert to fraction form
    7,371/10,172.04 = 4,059/x
  3. Step 3: Cross multiply
    7,371x = 10,172.04 × 4,059
  4. Step 4: Simplify right side
    7,371x = 41,288,310.36
  5. Step 5: Solve for x
    x = 41,288,310.36/7,371
  6. Step 6: Final answer
    x = 5,601.45

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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.