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Finding the Fourth Proportional to 11,615.16, 16,022.70 and 8,072.22

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Solution

The fourth proportional to 11,615.16, 16,022.70 and 8,072.22 is: 11,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.16 : 16,022.70 = 8,072.22 : x
  2. Step 2: Convert to fraction form
    11,615.16/16,022.70 = 8,072.22/x
  3. Step 3: Cross multiply
    11,615.16x = 16,022.70 × 8,072.22
  4. Step 4: Simplify right side
    11,615.16x = 129,338,759.39
  5. Step 5: Solve for x
    x = 129,338,759.39/11,615.16
  6. Step 6: Final answer
    x = 11,135.34

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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.