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Finding the Fourth Proportional to 8,896.84, 12,277.50 and 4,918

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Solution

The fourth proportional to 8,896.84, 12,277.50 and 4,918 is: 6,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.84 : 12,277.50 = 4,918 : x
  2. Step 2: Convert to fraction form
    8,896.84/12,277.50 = 4,918/x
  3. Step 3: Cross multiply
    8,896.84x = 12,277.50 × 4,918
  4. Step 4: Simplify right side
    8,896.84x = 60,380,745
  5. Step 5: Solve for x
    x = 60,380,745/8,896.84
  6. Step 6: Final answer
    x = 6,786.76

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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.