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Finding the Fourth Proportional to 7,202.75, 10,786.71 and 3,495.79

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Solution

The fourth proportional to 7,202.75, 10,786.71 and 3,495.79 is: 5,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.75 : 10,786.71 = 3,495.79 : x
  2. Step 2: Convert to fraction form
    7,202.75/10,786.71 = 3,495.79/x
  3. Step 3: Cross multiply
    7,202.75x = 10,786.71 × 3,495.79
  4. Step 4: Simplify right side
    7,202.75x = 37,708,019.02
  5. Step 5: Solve for x
    x = 37,708,019.02/7,202.75
  6. Step 6: Final answer
    x = 5,235.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.