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Finding the Fourth Proportional to 7,866.72, 10,850.38 and 5,344.43

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Solution

The fourth proportional to 7,866.72, 10,850.38 and 5,344.43 is: 7,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.72 : 10,850.38 = 5,344.43 : x
  2. Step 2: Convert to fraction form
    7,866.72/10,850.38 = 5,344.43/x
  3. Step 3: Cross multiply
    7,866.72x = 10,850.38 × 5,344.43
  4. Step 4: Simplify right side
    7,866.72x = 57,989,028.77
  5. Step 5: Solve for x
    x = 57,989,028.77/7,866.72
  6. Step 6: Final answer
    x = 7,371.44

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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.