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Finding the Fourth Proportional to 27,797.66, 41,696.12 and 6,737.88

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Solution

The fourth proportional to 27,797.66, 41,696.12 and 6,737.88 is: 10,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.66 : 41,696.12 = 6,737.88 : x
  2. Step 2: Convert to fraction form
    27,797.66/41,696.12 = 6,737.88/x
  3. Step 3: Cross multiply
    27,797.66x = 41,696.12 × 6,737.88
  4. Step 4: Simplify right side
    27,797.66x = 280,943,574.11
  5. Step 5: Solve for x
    x = 280,943,574.11/27,797.66
  6. Step 6: Final answer
    x = 10,106.73

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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.