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Finding the Fourth Proportional to 11,825.38, 16,319.13 and 6,520.38

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Solution

The fourth proportional to 11,825.38, 16,319.13 and 6,520.38 is: 8,998.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.38 : 16,319.13 = 6,520.38 : x
  2. Step 2: Convert to fraction form
    11,825.38/16,319.13 = 6,520.38/x
  3. Step 3: Cross multiply
    11,825.38x = 16,319.13 × 6,520.38
  4. Step 4: Simplify right side
    11,825.38x = 106,406,928.87
  5. Step 5: Solve for x
    x = 106,406,928.87/11,825.38
  6. Step 6: Final answer
    x = 8,998.19

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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.