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Finding the Fourth Proportional to 11,946.62, 16,482.48 and 6,640.41

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Solution

The fourth proportional to 11,946.62, 16,482.48 and 6,640.41 is: 9,161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.62 : 16,482.48 = 6,640.41 : x
  2. Step 2: Convert to fraction form
    11,946.62/16,482.48 = 6,640.41/x
  3. Step 3: Cross multiply
    11,946.62x = 16,482.48 × 6,640.41
  4. Step 4: Simplify right side
    11,946.62x = 109,450,425.02
  5. Step 5: Solve for x
    x = 109,450,425.02/11,946.62
  6. Step 6: Final answer
    x = 9,161.63

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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.