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Finding the Fourth Proportional to 27,828.98, 41,743.45 and 6,768.89

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Solution

The fourth proportional to 27,828.98, 41,743.45 and 6,768.89 is: 10,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,828.98 : 41,743.45 = 6,768.89 : x
  2. Step 2: Convert to fraction form
    27,828.98/41,743.45 = 6,768.89/x
  3. Step 3: Cross multiply
    27,828.98x = 41,743.45 × 6,768.89
  4. Step 4: Simplify right side
    27,828.98x = 282,556,578.71
  5. Step 5: Solve for x
    x = 282,556,578.71/27,828.98
  6. Step 6: Final answer
    x = 10,153.32

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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.