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Finding the Fourth Proportional to 11,783.27, 17,651.77 and 6,842.57

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Solution

The fourth proportional to 11,783.27, 17,651.77 and 6,842.57 is: 10,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.27 : 17,651.77 = 6,842.57 : x
  2. Step 2: Convert to fraction form
    11,783.27/17,651.77 = 6,842.57/x
  3. Step 3: Cross multiply
    11,783.27x = 17,651.77 × 6,842.57
  4. Step 4: Simplify right side
    11,783.27x = 120,783,437.64
  5. Step 5: Solve for x
    x = 120,783,437.64/11,783.27
  6. Step 6: Final answer
    x = 10,250.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.