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Finding the Fourth Proportional to 7,405.39, 10,202.07 and 5,163.19

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Solution

The fourth proportional to 7,405.39, 10,202.07 and 5,163.19 is: 7,113.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.39 : 10,202.07 = 5,163.19 : x
  2. Step 2: Convert to fraction form
    7,405.39/10,202.07 = 5,163.19/x
  3. Step 3: Cross multiply
    7,405.39x = 10,202.07 × 5,163.19
  4. Step 4: Simplify right side
    7,405.39x = 52,675,199.99
  5. Step 5: Solve for x
    x = 52,675,199.99/7,405.39
  6. Step 6: Final answer
    x = 7,113.09

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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.