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Finding the Fourth Proportional to 8,415.33, 12,623.31 and 2,571.99

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Solution

The fourth proportional to 8,415.33, 12,623.31 and 2,571.99 is: 3,858.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.33 : 12,623.31 = 2,571.99 : x
  2. Step 2: Convert to fraction form
    8,415.33/12,623.31 = 2,571.99/x
  3. Step 3: Cross multiply
    8,415.33x = 12,623.31 × 2,571.99
  4. Step 4: Simplify right side
    8,415.33x = 32,467,027.09
  5. Step 5: Solve for x
    x = 32,467,027.09/8,415.33
  6. Step 6: Final answer
    x = 3,858.08

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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.