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Finding the Fourth Proportional to 11,828.58, 16,324.14 and 6,523.38

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Solution

The fourth proportional to 11,828.58, 16,324.14 and 6,523.38 is: 9,002.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.58 : 16,324.14 = 6,523.38 : x
  2. Step 2: Convert to fraction form
    11,828.58/16,324.14 = 6,523.38/x
  3. Step 3: Cross multiply
    11,828.58x = 16,324.14 × 6,523.38
  4. Step 4: Simplify right side
    11,828.58x = 106,488,568.39
  5. Step 5: Solve for x
    x = 106,488,568.39/11,828.58
  6. Step 6: Final answer
    x = 9,002.65

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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.