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Finding the Fourth Proportional to 27,938.50, 41,910.27 and 7,162.18

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Solution

The fourth proportional to 27,938.50, 41,910.27 and 7,162.18 is: 10,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938.50 : 41,910.27 = 7,162.18 : x
  2. Step 2: Convert to fraction form
    27,938.50/41,910.27 = 7,162.18/x
  3. Step 3: Cross multiply
    27,938.50x = 41,910.27 × 7,162.18
  4. Step 4: Simplify right side
    27,938.50x = 300,168,897.59
  5. Step 5: Solve for x
    x = 300,168,897.59/27,938.50
  6. Step 6: Final answer
    x = 10,743.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.