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Finding the Fourth Proportional to 12,535.44, 18,797.49 and 3,768

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Solution

The fourth proportional to 12,535.44, 18,797.49 and 3,768 is: 5,650.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.44 : 18,797.49 = 3,768 : x
  2. Step 2: Convert to fraction form
    12,535.44/18,797.49 = 3,768/x
  3. Step 3: Cross multiply
    12,535.44x = 18,797.49 × 3,768
  4. Step 4: Simplify right side
    12,535.44x = 70,828,942.32
  5. Step 5: Solve for x
    x = 70,828,942.32/12,535.44
  6. Step 6: Final answer
    x = 5,650.30

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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.