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Finding the Fourth Proportional to 11,946.50, 16,485.39 and 6,641.12

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Solution

The fourth proportional to 11,946.50, 16,485.39 and 6,641.12 is: 9,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.50 : 16,485.39 = 6,641.12 : x
  2. Step 2: Convert to fraction form
    11,946.50/16,485.39 = 6,641.12/x
  3. Step 3: Cross multiply
    11,946.50x = 16,485.39 × 6,641.12
  4. Step 4: Simplify right side
    11,946.50x = 109,481,453.24
  5. Step 5: Solve for x
    x = 109,481,453.24/11,946.50
  6. Step 6: Final answer
    x = 9,164.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.