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Finding the Fourth Proportional to 27,082, 40,622.64 and 7,091.44

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Solution

The fourth proportional to 27,082, 40,622.64 and 7,091.44 is: 10,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082 : 40,622.64 = 7,091.44 : x
  2. Step 2: Convert to fraction form
    27,082/40,622.64 = 7,091.44/x
  3. Step 3: Cross multiply
    27,082x = 40,622.64 × 7,091.44
  4. Step 4: Simplify right side
    27,082x = 288,073,014.20
  5. Step 5: Solve for x
    x = 288,073,014.20/27,082
  6. Step 6: Final answer
    x = 10,637.07

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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.