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Finding the Fourth Proportional to 8,162.96, 11,265 and 5,018

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Solution

The fourth proportional to 8,162.96, 11,265 and 5,018 is: 6,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.96 : 11,265 = 5,018 : x
  2. Step 2: Convert to fraction form
    8,162.96/11,265 = 5,018/x
  3. Step 3: Cross multiply
    8,162.96x = 11,265 × 5,018
  4. Step 4: Simplify right side
    8,162.96x = 56,527,770
  5. Step 5: Solve for x
    x = 56,527,770/8,162.96
  6. Step 6: Final answer
    x = 6,924.91

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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.