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Finding the Fourth Proportional to 7,203, 10,796.82 and 3,735.48

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Solution

The fourth proportional to 7,203, 10,796.82 and 3,735.48 is: 5,599.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203 : 10,796.82 = 3,735.48 : x
  2. Step 2: Convert to fraction form
    7,203/10,796.82 = 3,735.48/x
  3. Step 3: Cross multiply
    7,203x = 10,796.82 × 3,735.48
  4. Step 4: Simplify right side
    7,203x = 40,331,305.17
  5. Step 5: Solve for x
    x = 40,331,305.17/7,203
  6. Step 6: Final answer
    x = 5,599.24

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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.