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Finding the Fourth Proportional to 10,917.99, 16,361.33 and 6,228.29

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Solution

The fourth proportional to 10,917.99, 16,361.33 and 6,228.29 is: 9,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.99 : 16,361.33 = 6,228.29 : x
  2. Step 2: Convert to fraction form
    10,917.99/16,361.33 = 6,228.29/x
  3. Step 3: Cross multiply
    10,917.99x = 16,361.33 × 6,228.29
  4. Step 4: Simplify right side
    10,917.99x = 101,902,995.08
  5. Step 5: Solve for x
    x = 101,902,995.08/10,917.99
  6. Step 6: Final answer
    x = 9,333.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.