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Finding the Fourth Proportional to 7,306, 10,082.44 and 3,994

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Solution

The fourth proportional to 7,306, 10,082.44 and 3,994 is: 5,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306 : 10,082.44 = 3,994 : x
  2. Step 2: Convert to fraction form
    7,306/10,082.44 = 3,994/x
  3. Step 3: Cross multiply
    7,306x = 10,082.44 × 3,994
  4. Step 4: Simplify right side
    7,306x = 40,269,265.36
  5. Step 5: Solve for x
    x = 40,269,265.36/7,306
  6. Step 6: Final answer
    x = 5,511.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.