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Finding the Fourth Proportional to 11,615.49, 16,021.22 and 7,141.71

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Solution

The fourth proportional to 11,615.49, 16,021.22 and 7,141.71 is: 9,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.49 : 16,021.22 = 7,141.71 : x
  2. Step 2: Convert to fraction form
    11,615.49/16,021.22 = 7,141.71/x
  3. Step 3: Cross multiply
    11,615.49x = 16,021.22 × 7,141.71
  4. Step 4: Simplify right side
    11,615.49x = 114,418,871.38
  5. Step 5: Solve for x
    x = 114,418,871.38/11,615.49
  6. Step 6: Final answer
    x = 9,850.54

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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.