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Finding the Fourth Proportional to 26,806.73, 40,211.51 and 7,084.75

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Solution

The fourth proportional to 26,806.73, 40,211.51 and 7,084.75 is: 10,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,806.73 : 40,211.51 = 7,084.75 : x
  2. Step 2: Convert to fraction form
    26,806.73/40,211.51 = 7,084.75/x
  3. Step 3: Cross multiply
    26,806.73x = 40,211.51 × 7,084.75
  4. Step 4: Simplify right side
    26,806.73x = 284,888,394.94
  5. Step 5: Solve for x
    x = 284,888,394.94/26,806.73
  6. Step 6: Final answer
    x = 10,627.50

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Why These Related Problems?

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