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Finding the Fourth Proportional to 7,159.36, 10,735.14 and 2,227.66

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Solution

The fourth proportional to 7,159.36, 10,735.14 and 2,227.66 is: 3,340.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.36 : 10,735.14 = 2,227.66 : x
  2. Step 2: Convert to fraction form
    7,159.36/10,735.14 = 2,227.66/x
  3. Step 3: Cross multiply
    7,159.36x = 10,735.14 × 2,227.66
  4. Step 4: Simplify right side
    7,159.36x = 23,914,241.97
  5. Step 5: Solve for x
    x = 23,914,241.97/7,159.36
  6. Step 6: Final answer
    x = 3,340.28

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