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Finding the Fourth Proportional to 11,782.15, 17,675.69 and 10,605.83

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Solution

The fourth proportional to 11,782.15, 17,675.69 and 10,605.83 is: 15,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.15 : 17,675.69 = 10,605.83 : x
  2. Step 2: Convert to fraction form
    11,782.15/17,675.69 = 10,605.83/x
  3. Step 3: Cross multiply
    11,782.15x = 17,675.69 × 10,605.83
  4. Step 4: Simplify right side
    11,782.15x = 187,465,221.87
  5. Step 5: Solve for x
    x = 187,465,221.87/11,782.15
  6. Step 6: Final answer
    x = 15,910.96

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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.