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Finding the Fourth Proportional to 27,818.30, 41,727.06 and 6,758.50

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Solution

The fourth proportional to 27,818.30, 41,727.06 and 6,758.50 is: 10,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.30 : 41,727.06 = 6,758.50 : x
  2. Step 2: Convert to fraction form
    27,818.30/41,727.06 = 6,758.50/x
  3. Step 3: Cross multiply
    27,818.30x = 41,727.06 × 6,758.50
  4. Step 4: Simplify right side
    27,818.30x = 282,012,335.01
  5. Step 5: Solve for x
    x = 282,012,335.01/27,818.30
  6. Step 6: Final answer
    x = 10,137.66

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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.