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Finding the Fourth Proportional to 8,664.82, 11,956.71 and 4,887.24

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Solution

The fourth proportional to 8,664.82, 11,956.71 and 4,887.24 is: 6,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.82 : 11,956.71 = 4,887.24 : x
  2. Step 2: Convert to fraction form
    8,664.82/11,956.71 = 4,887.24/x
  3. Step 3: Cross multiply
    8,664.82x = 11,956.71 × 4,887.24
  4. Step 4: Simplify right side
    8,664.82x = 58,435,311.38
  5. Step 5: Solve for x
    x = 58,435,311.38/8,664.82
  6. Step 6: Final answer
    x = 6,743.97

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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.