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Finding the Fourth Proportional to 27,841.78, 41,765.10 and 7,065.28

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Solution

The fourth proportional to 27,841.78, 41,765.10 and 7,065.28 is: 10,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,841.78 : 41,765.10 = 7,065.28 : x
  2. Step 2: Convert to fraction form
    27,841.78/41,765.10 = 7,065.28/x
  3. Step 3: Cross multiply
    27,841.78x = 41,765.10 × 7,065.28
  4. Step 4: Simplify right side
    27,841.78x = 295,082,125.73
  5. Step 5: Solve for x
    x = 295,082,125.73/27,841.78
  6. Step 6: Final answer
    x = 10,598.54

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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.