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Finding the Fourth Proportional to 7,355.34, 10,150.38 and 3,998.16

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Solution

The fourth proportional to 7,355.34, 10,150.38 and 3,998.16 is: 5,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.34 : 10,150.38 = 3,998.16 : x
  2. Step 2: Convert to fraction form
    7,355.34/10,150.38 = 3,998.16/x
  3. Step 3: Cross multiply
    7,355.34x = 10,150.38 × 3,998.16
  4. Step 4: Simplify right side
    7,355.34x = 40,582,843.30
  5. Step 5: Solve for x
    x = 40,582,843.30/7,355.34
  6. Step 6: Final answer
    x = 5,517.47

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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.