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Finding the Fourth Proportional to 27,498.68, 41,247.84 and 6,722

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Solution

The fourth proportional to 27,498.68, 41,247.84 and 6,722 is: 10,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,498.68 : 41,247.84 = 6,722 : x
  2. Step 2: Convert to fraction form
    27,498.68/41,247.84 = 6,722/x
  3. Step 3: Cross multiply
    27,498.68x = 41,247.84 × 6,722
  4. Step 4: Simplify right side
    27,498.68x = 277,267,980.48
  5. Step 5: Solve for x
    x = 277,267,980.48/27,498.68
  6. Step 6: Final answer
    x = 10,082.96

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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.