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Finding the Fourth Proportional to 11,004.30, 16,467.46 and 6,846.30

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Solution

The fourth proportional to 11,004.30, 16,467.46 and 6,846.30 is: 10,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,004.30 : 16,467.46 = 6,846.30 : x
  2. Step 2: Convert to fraction form
    11,004.30/16,467.46 = 6,846.30/x
  3. Step 3: Cross multiply
    11,004.30x = 16,467.46 × 6,846.30
  4. Step 4: Simplify right side
    11,004.30x = 112,741,171.40
  5. Step 5: Solve for x
    x = 112,741,171.40/11,004.30
  6. Step 6: Final answer
    x = 10,245.19

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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.