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Finding the Fourth Proportional to 6,811.90, 10,196.16 and 6,553.54

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Solution

The fourth proportional to 6,811.90, 10,196.16 and 6,553.54 is: 9,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.90 : 10,196.16 = 6,553.54 : x
  2. Step 2: Convert to fraction form
    6,811.90/10,196.16 = 6,553.54/x
  3. Step 3: Cross multiply
    6,811.90x = 10,196.16 × 6,553.54
  4. Step 4: Simplify right side
    6,811.90x = 66,820,942.41
  5. Step 5: Solve for x
    x = 66,820,942.41/6,811.90
  6. Step 6: Final answer
    x = 9,809.44

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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.