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Finding the Fourth Proportional to 11,645.22, 17,459.73 and 7,202.37

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Solution

The fourth proportional to 11,645.22, 17,459.73 and 7,202.37 is: 10,798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.22 : 17,459.73 = 7,202.37 : x
  2. Step 2: Convert to fraction form
    11,645.22/17,459.73 = 7,202.37/x
  3. Step 3: Cross multiply
    11,645.22x = 17,459.73 × 7,202.37
  4. Step 4: Simplify right side
    11,645.22x = 125,751,435.56
  5. Step 5: Solve for x
    x = 125,751,435.56/11,645.22
  6. Step 6: Final answer
    x = 10,798.55

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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.