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Finding the Fourth Proportional to 11,834, 16,329.16 and 6,798.44

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Solution

The fourth proportional to 11,834, 16,329.16 and 6,798.44 is: 9,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834 : 16,329.16 = 6,798.44 : x
  2. Step 2: Convert to fraction form
    11,834/16,329.16 = 6,798.44/x
  3. Step 3: Cross multiply
    11,834x = 16,329.16 × 6,798.44
  4. Step 4: Simplify right side
    11,834x = 111,012,814.51
  5. Step 5: Solve for x
    x = 111,012,814.51/11,834
  6. Step 6: Final answer
    x = 9,380.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.