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Finding the Fourth Proportional to 11,628.50, 16,046.93 and 6,323.23

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Solution

The fourth proportional to 11,628.50, 16,046.93 and 6,323.23 is: 8,725.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.50 : 16,046.93 = 6,323.23 : x
  2. Step 2: Convert to fraction form
    11,628.50/16,046.93 = 6,323.23/x
  3. Step 3: Cross multiply
    11,628.50x = 16,046.93 × 6,323.23
  4. Step 4: Simplify right side
    11,628.50x = 101,468,317.33
  5. Step 5: Solve for x
    x = 101,468,317.33/11,628.50
  6. Step 6: Final answer
    x = 8,725.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.