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Finding the Fourth Proportional to 11,725.75, 16,181.94 and 6,420.52

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Solution

The fourth proportional to 11,725.75, 16,181.94 and 6,420.52 is: 8,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,725.75 : 16,181.94 = 6,420.52 : x
  2. Step 2: Convert to fraction form
    11,725.75/16,181.94 = 6,420.52/x
  3. Step 3: Cross multiply
    11,725.75x = 16,181.94 × 6,420.52
  4. Step 4: Simplify right side
    11,725.75x = 103,896,469.41
  5. Step 5: Solve for x
    x = 103,896,469.41/11,725.75
  6. Step 6: Final answer
    x = 8,860.54

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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.