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Finding the Fourth Proportional to 10,796.84, 16,197.44 and 4,556.86

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Solution

The fourth proportional to 10,796.84, 16,197.44 and 4,556.86 is: 6,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.84 : 16,197.44 = 4,556.86 : x
  2. Step 2: Convert to fraction form
    10,796.84/16,197.44 = 4,556.86/x
  3. Step 3: Cross multiply
    10,796.84x = 16,197.44 × 4,556.86
  4. Step 4: Simplify right side
    10,796.84x = 73,809,403.16
  5. Step 5: Solve for x
    x = 73,809,403.16/10,796.84
  6. Step 6: Final answer
    x = 6,836.21

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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.