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Finding the Fourth Proportional to 7,334, 10,120.92 and 4,022

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Solution

The fourth proportional to 7,334, 10,120.92 and 4,022 is: 5,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334 : 10,120.92 = 4,022 : x
  2. Step 2: Convert to fraction form
    7,334/10,120.92 = 4,022/x
  3. Step 3: Cross multiply
    7,334x = 10,120.92 × 4,022
  4. Step 4: Simplify right side
    7,334x = 40,706,340.24
  5. Step 5: Solve for x
    x = 40,706,340.24/7,334
  6. Step 6: Final answer
    x = 5,550.36

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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.