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Finding the Fourth Proportional to 11,918.22, 16,447.10 and 7,139.03

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Solution

The fourth proportional to 11,918.22, 16,447.10 and 7,139.03 is: 9,851.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.22 : 16,447.10 = 7,139.03 : x
  2. Step 2: Convert to fraction form
    11,918.22/16,447.10 = 7,139.03/x
  3. Step 3: Cross multiply
    11,918.22x = 16,447.10 × 7,139.03
  4. Step 4: Simplify right side
    11,918.22x = 117,416,222.38
  5. Step 5: Solve for x
    x = 117,416,222.38/11,918.22
  6. Step 6: Final answer
    x = 9,851.83

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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.