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Finding the Fourth Proportional to 7,252.38, 10,028.43 and 5,757.71

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Solution

The fourth proportional to 7,252.38, 10,028.43 and 5,757.71 is: 7,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,252.38 : 10,028.43 = 5,757.71 : x
  2. Step 2: Convert to fraction form
    7,252.38/10,028.43 = 5,757.71/x
  3. Step 3: Cross multiply
    7,252.38x = 10,028.43 × 5,757.71
  4. Step 4: Simplify right side
    7,252.38x = 57,740,741.55
  5. Step 5: Solve for x
    x = 57,740,741.55/7,252.38
  6. Step 6: Final answer
    x = 7,961.63

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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.