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Finding the Fourth Proportional to 11,869.38, 16,379.18 and 6,830.14

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Solution

The fourth proportional to 11,869.38, 16,379.18 and 6,830.14 is: 9,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.38 : 16,379.18 = 6,830.14 : x
  2. Step 2: Convert to fraction form
    11,869.38/16,379.18 = 6,830.14/x
  3. Step 3: Cross multiply
    11,869.38x = 16,379.18 × 6,830.14
  4. Step 4: Simplify right side
    11,869.38x = 111,872,092.49
  5. Step 5: Solve for x
    x = 111,872,092.49/11,869.38
  6. Step 6: Final answer
    x = 9,425.27

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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.