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Finding the Fourth Proportional to 7,166.94, 10,736.01 and 3,265.98

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Solution

The fourth proportional to 7,166.94, 10,736.01 and 3,265.98 is: 4,892.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.94 : 10,736.01 = 3,265.98 : x
  2. Step 2: Convert to fraction form
    7,166.94/10,736.01 = 3,265.98/x
  3. Step 3: Cross multiply
    7,166.94x = 10,736.01 × 3,265.98
  4. Step 4: Simplify right side
    7,166.94x = 35,063,593.94
  5. Step 5: Solve for x
    x = 35,063,593.94/7,166.94
  6. Step 6: Final answer
    x = 4,892.41

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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.