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Finding the Fourth Proportional to 10,796.86, 16,195.38 and 3,006.28

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Solution

The fourth proportional to 10,796.86, 16,195.38 and 3,006.28 is: 4,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.86 : 16,195.38 = 3,006.28 : x
  2. Step 2: Convert to fraction form
    10,796.86/16,195.38 = 3,006.28/x
  3. Step 3: Cross multiply
    10,796.86x = 16,195.38 × 3,006.28
  4. Step 4: Simplify right side
    10,796.86x = 48,687,846.99
  5. Step 5: Solve for x
    x = 48,687,846.99/10,796.86
  6. Step 6: Final answer
    x = 4,509.45

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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.