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Finding the Fourth Proportional to 11,709.86, 17,538.42 and 8,215.43

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Solution

The fourth proportional to 11,709.86, 17,538.42 and 8,215.43 is: 12,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.86 : 17,538.42 = 8,215.43 : x
  2. Step 2: Convert to fraction form
    11,709.86/17,538.42 = 8,215.43/x
  3. Step 3: Cross multiply
    11,709.86x = 17,538.42 × 8,215.43
  4. Step 4: Simplify right side
    11,709.86x = 144,085,661.82
  5. Step 5: Solve for x
    x = 144,085,661.82/11,709.86
  6. Step 6: Final answer
    x = 12,304.64

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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.