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Finding the Fourth Proportional to 27,834.90, 41,751.74 and 6,775.04

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Solution

The fourth proportional to 27,834.90, 41,751.74 and 6,775.04 is: 10,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.90 : 41,751.74 = 6,775.04 : x
  2. Step 2: Convert to fraction form
    27,834.90/41,751.74 = 6,775.04/x
  3. Step 3: Cross multiply
    27,834.90x = 41,751.74 × 6,775.04
  4. Step 4: Simplify right side
    27,834.90x = 282,869,708.57
  5. Step 5: Solve for x
    x = 282,869,708.57/27,834.90
  6. Step 6: Final answer
    x = 10,162.41

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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.