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Finding the Fourth Proportional to 11,825.23, 16,318.23 and 6,720.08

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Solution

The fourth proportional to 11,825.23, 16,318.23 and 6,720.08 is: 9,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.23 : 16,318.23 = 6,720.08 : x
  2. Step 2: Convert to fraction form
    11,825.23/16,318.23 = 6,720.08/x
  3. Step 3: Cross multiply
    11,825.23x = 16,318.23 × 6,720.08
  4. Step 4: Simplify right side
    11,825.23x = 109,659,876.55
  5. Step 5: Solve for x
    x = 109,659,876.55/11,825.23
  6. Step 6: Final answer
    x = 9,273.38

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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.