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Finding the Fourth Proportional to 11,538.86, 17,344.42 and 7,615.33

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Solution

The fourth proportional to 11,538.86, 17,344.42 and 7,615.33 is: 11,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.86 : 17,344.42 = 7,615.33 : x
  2. Step 2: Convert to fraction form
    11,538.86/17,344.42 = 7,615.33/x
  3. Step 3: Cross multiply
    11,538.86x = 17,344.42 × 7,615.33
  4. Step 4: Simplify right side
    11,538.86x = 132,083,462.92
  5. Step 5: Solve for x
    x = 132,083,462.92/11,538.86
  6. Step 6: Final answer
    x = 11,446.84

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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.