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Finding the Fourth Proportional to 7,743.67, 11,615.48 and 2,197.01

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Solution

The fourth proportional to 7,743.67, 11,615.48 and 2,197.01 is: 3,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.67 : 11,615.48 = 2,197.01 : x
  2. Step 2: Convert to fraction form
    7,743.67/11,615.48 = 2,197.01/x
  3. Step 3: Cross multiply
    7,743.67x = 11,615.48 × 2,197.01
  4. Step 4: Simplify right side
    7,743.67x = 25,519,314.73
  5. Step 5: Solve for x
    x = 25,519,314.73/7,743.67
  6. Step 6: Final answer
    x = 3,295.51

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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.