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Finding the Fourth Proportional to 27,760.46, 41,647.36 and 8,040.38

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Solution

The fourth proportional to 27,760.46, 41,647.36 and 8,040.38 is: 12,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.46 : 41,647.36 = 8,040.38 : x
  2. Step 2: Convert to fraction form
    27,760.46/41,647.36 = 8,040.38/x
  3. Step 3: Cross multiply
    27,760.46x = 41,647.36 × 8,040.38
  4. Step 4: Simplify right side
    27,760.46x = 334,860,600.40
  5. Step 5: Solve for x
    x = 334,860,600.40/27,760.46
  6. Step 6: Final answer
    x = 12,062.50

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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.