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Finding the Fourth Proportional to 10,982.99, 16,442.19 and 6,809.60

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Solution

The fourth proportional to 10,982.99, 16,442.19 and 6,809.60 is: 10,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,982.99 : 16,442.19 = 6,809.60 : x
  2. Step 2: Convert to fraction form
    10,982.99/16,442.19 = 6,809.60/x
  3. Step 3: Cross multiply
    10,982.99x = 16,442.19 × 6,809.60
  4. Step 4: Simplify right side
    10,982.99x = 111,964,778.13
  5. Step 5: Solve for x
    x = 111,964,778.13/10,982.99
  6. Step 6: Final answer
    x = 10,194.38

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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.