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Finding the Fourth Proportional to 8,664.49, 11,956.51 and 4,887.44

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Solution

The fourth proportional to 8,664.49, 11,956.51 and 4,887.44 is: 6,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.49 : 11,956.51 = 4,887.44 : x
  2. Step 2: Convert to fraction form
    8,664.49/11,956.51 = 4,887.44/x
  3. Step 3: Cross multiply
    8,664.49x = 11,956.51 × 4,887.44
  4. Step 4: Simplify right side
    8,664.49x = 58,436,644.07
  5. Step 5: Solve for x
    x = 58,436,644.07/8,664.49
  6. Step 6: Final answer
    x = 6,744.38

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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.