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Finding the Fourth Proportional to 11,243.89, 15,517.07 and 6,465.38

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Solution

The fourth proportional to 11,243.89, 15,517.07 and 6,465.38 is: 8,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.89 : 15,517.07 = 6,465.38 : x
  2. Step 2: Convert to fraction form
    11,243.89/15,517.07 = 6,465.38/x
  3. Step 3: Cross multiply
    11,243.89x = 15,517.07 × 6,465.38
  4. Step 4: Simplify right side
    11,243.89x = 100,323,754.04
  5. Step 5: Solve for x
    x = 100,323,754.04/11,243.89
  6. Step 6: Final answer
    x = 8,922.51

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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.