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Finding the Fourth Proportional to 27,760.37, 41,639.33 and 8,038.49

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Solution

The fourth proportional to 27,760.37, 41,639.33 and 8,038.49 is: 12,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.37 : 41,639.33 = 8,038.49 : x
  2. Step 2: Convert to fraction form
    27,760.37/41,639.33 = 8,038.49/x
  3. Step 3: Cross multiply
    27,760.37x = 41,639.33 × 8,038.49
  4. Step 4: Simplify right side
    27,760.37x = 334,717,149.71
  5. Step 5: Solve for x
    x = 334,717,149.71/27,760.37
  6. Step 6: Final answer
    x = 12,057.38

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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.