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Finding the Fourth Proportional to 11,846.84, 17,757.50 and 6,003.90

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Solution

The fourth proportional to 11,846.84, 17,757.50 and 6,003.90 is: 8,999.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.84 : 17,757.50 = 6,003.90 : x
  2. Step 2: Convert to fraction form
    11,846.84/17,757.50 = 6,003.90/x
  3. Step 3: Cross multiply
    11,846.84x = 17,757.50 × 6,003.90
  4. Step 4: Simplify right side
    11,846.84x = 106,614,224.23
  5. Step 5: Solve for x
    x = 106,614,224.23/11,846.84
  6. Step 6: Final answer
    x = 8,999.38

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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.