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Finding the Fourth Proportional to 11,223.37, 15,489.57 and 6,749.38

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Solution

The fourth proportional to 11,223.37, 15,489.57 and 6,749.38 is: 9,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.37 : 15,489.57 = 6,749.38 : x
  2. Step 2: Convert to fraction form
    11,223.37/15,489.57 = 6,749.38/x
  3. Step 3: Cross multiply
    11,223.37x = 15,489.57 × 6,749.38
  4. Step 4: Simplify right side
    11,223.37x = 104,544,993.97
  5. Step 5: Solve for x
    x = 104,544,993.97/11,223.37
  6. Step 6: Final answer
    x = 9,314.94

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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.