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Finding the Fourth Proportional to 8,434.72, 11,638.38 and 5,924.50

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Solution

The fourth proportional to 8,434.72, 11,638.38 and 5,924.50 is: 8,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.72 : 11,638.38 = 5,924.50 : x
  2. Step 2: Convert to fraction form
    8,434.72/11,638.38 = 5,924.50/x
  3. Step 3: Cross multiply
    8,434.72x = 11,638.38 × 5,924.50
  4. Step 4: Simplify right side
    8,434.72x = 68,951,582.31
  5. Step 5: Solve for x
    x = 68,951,582.31/8,434.72
  6. Step 6: Final answer
    x = 8,174.73

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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.