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Finding the Fourth Proportional to 7,383.99, 11,076 and 2,763.75

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Solution

The fourth proportional to 7,383.99, 11,076 and 2,763.75 is: 4,145.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.99 : 11,076 = 2,763.75 : x
  2. Step 2: Convert to fraction form
    7,383.99/11,076 = 2,763.75/x
  3. Step 3: Cross multiply
    7,383.99x = 11,076 × 2,763.75
  4. Step 4: Simplify right side
    7,383.99x = 30,611,295
  5. Step 5: Solve for x
    x = 30,611,295/7,383.99
  6. Step 6: Final answer
    x = 4,145.63

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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.