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Finding the Fourth Proportional to 8,692.12, 11,996.36 and 4,916.44

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Solution

The fourth proportional to 8,692.12, 11,996.36 and 4,916.44 is: 6,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.12 : 11,996.36 = 4,916.44 : x
  2. Step 2: Convert to fraction form
    8,692.12/11,996.36 = 4,916.44/x
  3. Step 3: Cross multiply
    8,692.12x = 11,996.36 × 4,916.44
  4. Step 4: Simplify right side
    8,692.12x = 58,979,384.16
  5. Step 5: Solve for x
    x = 58,979,384.16/8,692.12
  6. Step 6: Final answer
    x = 6,785.39

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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.