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Finding the Fourth Proportional to 7,307.13, 10,083.90 and 4,163.38

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Solution

The fourth proportional to 7,307.13, 10,083.90 and 4,163.38 is: 5,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.13 : 10,083.90 = 4,163.38 : x
  2. Step 2: Convert to fraction form
    7,307.13/10,083.90 = 4,163.38/x
  3. Step 3: Cross multiply
    7,307.13x = 10,083.90 × 4,163.38
  4. Step 4: Simplify right side
    7,307.13x = 41,983,107.58
  5. Step 5: Solve for x
    x = 41,983,107.58/7,307.13
  6. Step 6: Final answer
    x = 5,745.50

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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.