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Finding the Fourth Proportional to 7,768.74, 11,644.81 and 3,082.26

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Solution

The fourth proportional to 7,768.74, 11,644.81 and 3,082.26 is: 4,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.74 : 11,644.81 = 3,082.26 : x
  2. Step 2: Convert to fraction form
    7,768.74/11,644.81 = 3,082.26/x
  3. Step 3: Cross multiply
    7,768.74x = 11,644.81 × 3,082.26
  4. Step 4: Simplify right side
    7,768.74x = 35,892,368.03
  5. Step 5: Solve for x
    x = 35,892,368.03/7,768.74
  6. Step 6: Final answer
    x = 4,620.10

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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.