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Finding the Fourth Proportional to 11,004.48, 16,485.46 and 6,846.14

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Solution

The fourth proportional to 11,004.48, 16,485.46 and 6,846.14 is: 10,255.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.48 : 16,485.46 = 6,846.14 : x
  2. Step 2: Convert to fraction form
    11,004.48/16,485.46 = 6,846.14/x
  3. Step 3: Cross multiply
    11,004.48x = 16,485.46 × 6,846.14
  4. Step 4: Simplify right side
    11,004.48x = 112,861,791.22
  5. Step 5: Solve for x
    x = 112,861,791.22/11,004.48
  6. Step 6: Final answer
    x = 10,255.99

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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.