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Finding the Fourth Proportional to 7,307, 10,083.82 and 3,995

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Solution

The fourth proportional to 7,307, 10,083.82 and 3,995 is: 5,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307 : 10,083.82 = 3,995 : x
  2. Step 2: Convert to fraction form
    7,307/10,083.82 = 3,995/x
  3. Step 3: Cross multiply
    7,307x = 10,083.82 × 3,995
  4. Step 4: Simplify right side
    7,307x = 40,284,860.90
  5. Step 5: Solve for x
    x = 40,284,860.90/7,307
  6. Step 6: Final answer
    x = 5,513.19

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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.