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Finding the Fourth Proportional to 11,750.38, 16,220.22 and 7,033.78

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Solution

The fourth proportional to 11,750.38, 16,220.22 and 7,033.78 is: 9,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.38 : 16,220.22 = 7,033.78 : x
  2. Step 2: Convert to fraction form
    11,750.38/16,220.22 = 7,033.78/x
  3. Step 3: Cross multiply
    11,750.38x = 16,220.22 × 7,033.78
  4. Step 4: Simplify right side
    11,750.38x = 114,089,459.03
  5. Step 5: Solve for x
    x = 114,089,459.03/11,750.38
  6. Step 6: Final answer
    x = 9,709.43

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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.