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Finding the Fourth Proportional to 7,393.07, 10,198 and 5,401.19

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Solution

The fourth proportional to 7,393.07, 10,198 and 5,401.19 is: 7,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,393.07 : 10,198 = 5,401.19 : x
  2. Step 2: Convert to fraction form
    7,393.07/10,198 = 5,401.19/x
  3. Step 3: Cross multiply
    7,393.07x = 10,198 × 5,401.19
  4. Step 4: Simplify right side
    7,393.07x = 55,081,335.62
  5. Step 5: Solve for x
    x = 55,081,335.62/7,393.07
  6. Step 6: Final answer
    x = 7,450.40

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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.