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Finding the Fourth Proportional to 11,538.75, 17,309.80 and 3,638.60

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Solution

The fourth proportional to 11,538.75, 17,309.80 and 3,638.60 is: 5,458.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.75 : 17,309.80 = 3,638.60 : x
  2. Step 2: Convert to fraction form
    11,538.75/17,309.80 = 3,638.60/x
  3. Step 3: Cross multiply
    11,538.75x = 17,309.80 × 3,638.60
  4. Step 4: Simplify right side
    11,538.75x = 62,983,342.63
  5. Step 5: Solve for x
    x = 62,983,342.63/11,538.75
  6. Step 6: Final answer
    x = 5,458.42

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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.