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Finding the Fourth Proportional to 11,808.38, 16,295.31 and 6,503.24

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Solution

The fourth proportional to 11,808.38, 16,295.31 and 6,503.24 is: 8,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.38 : 16,295.31 = 6,503.24 : x
  2. Step 2: Convert to fraction form
    11,808.38/16,295.31 = 6,503.24/x
  3. Step 3: Cross multiply
    11,808.38x = 16,295.31 × 6,503.24
  4. Step 4: Simplify right side
    11,808.38x = 105,972,230.33
  5. Step 5: Solve for x
    x = 105,972,230.33/11,808.38
  6. Step 6: Final answer
    x = 8,974.33

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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.