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Finding the Fourth Proportional to 27,807.59, 41,711.03 and 6,747.80

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Solution

The fourth proportional to 27,807.59, 41,711.03 and 6,747.80 is: 10,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.59 : 41,711.03 = 6,747.80 : x
  2. Step 2: Convert to fraction form
    27,807.59/41,711.03 = 6,747.80/x
  3. Step 3: Cross multiply
    27,807.59x = 41,711.03 × 6,747.80
  4. Step 4: Simplify right side
    27,807.59x = 281,457,445.94
  5. Step 5: Solve for x
    x = 281,457,445.94/27,807.59
  6. Step 6: Final answer
    x = 10,121.61

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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.