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Finding the Fourth Proportional to 27,082, 40,626.89 and 8,363.64

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Solution

The fourth proportional to 27,082, 40,626.89 and 8,363.64 is: 12,546.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082 : 40,626.89 = 8,363.64 : x
  2. Step 2: Convert to fraction form
    27,082/40,626.89 = 8,363.64/x
  3. Step 3: Cross multiply
    27,082x = 40,626.89 × 8,363.64
  4. Step 4: Simplify right side
    27,082x = 339,788,682.28
  5. Step 5: Solve for x
    x = 339,788,682.28/27,082
  6. Step 6: Final answer
    x = 12,546.66

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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.