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Finding the Fourth Proportional to 11,918.12, 16,447.45 and 7,201.49

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Solution

The fourth proportional to 11,918.12, 16,447.45 and 7,201.49 is: 9,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.12 : 16,447.45 = 7,201.49 : x
  2. Step 2: Convert to fraction form
    11,918.12/16,447.45 = 7,201.49/x
  3. Step 3: Cross multiply
    11,918.12x = 16,447.45 × 7,201.49
  4. Step 4: Simplify right side
    11,918.12x = 118,446,110.69
  5. Step 5: Solve for x
    x = 118,446,110.69/11,918.12
  6. Step 6: Final answer
    x = 9,938.32

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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.