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Finding the Fourth Proportional to 11,416.80, 17,092.39 and 8,435.19

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Solution

The fourth proportional to 11,416.80, 17,092.39 and 8,435.19 is: 12,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.80 : 17,092.39 = 8,435.19 : x
  2. Step 2: Convert to fraction form
    11,416.80/17,092.39 = 8,435.19/x
  3. Step 3: Cross multiply
    11,416.80x = 17,092.39 × 8,435.19
  4. Step 4: Simplify right side
    11,416.80x = 144,177,450.65
  5. Step 5: Solve for x
    x = 144,177,450.65/11,416.80
  6. Step 6: Final answer
    x = 12,628.54

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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.