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Finding the Fourth Proportional to 8,538, 11,782.44 and 4,812

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Solution

The fourth proportional to 8,538, 11,782.44 and 4,812 is: 6,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538 : 11,782.44 = 4,812 : x
  2. Step 2: Convert to fraction form
    8,538/11,782.44 = 4,812/x
  3. Step 3: Cross multiply
    8,538x = 11,782.44 × 4,812
  4. Step 4: Simplify right side
    8,538x = 56,697,101.28
  5. Step 5: Solve for x
    x = 56,697,101.28/8,538
  6. Step 6: Final answer
    x = 6,640.56

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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.