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Finding the Fourth Proportional to 11,846.20, 17,783.70 and 5,999.80

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Solution

The fourth proportional to 11,846.20, 17,783.70 and 5,999.80 is: 9,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.20 : 17,783.70 = 5,999.80 : x
  2. Step 2: Convert to fraction form
    11,846.20/17,783.70 = 5,999.80/x
  3. Step 3: Cross multiply
    11,846.20x = 17,783.70 × 5,999.80
  4. Step 4: Simplify right side
    11,846.20x = 106,698,643.26
  5. Step 5: Solve for x
    x = 106,698,643.26/11,846.20
  6. Step 6: Final answer
    x = 9,006.99

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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.