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Finding the Fourth Proportional to 11,827.38, 16,321.86 and 6,522.12

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Solution

The fourth proportional to 11,827.38, 16,321.86 and 6,522.12 is: 9,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.38 : 16,321.86 = 6,522.12 : x
  2. Step 2: Convert to fraction form
    11,827.38/16,321.86 = 6,522.12/x
  3. Step 3: Cross multiply
    11,827.38x = 16,321.86 × 6,522.12
  4. Step 4: Simplify right side
    11,827.38x = 106,453,129.54
  5. Step 5: Solve for x
    x = 106,453,129.54/11,827.38
  6. Step 6: Final answer
    x = 9,000.57

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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.