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Finding the Fourth Proportional to 8,164.35, 11,262.87 and 5,019.39

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Solution

The fourth proportional to 8,164.35, 11,262.87 and 5,019.39 is: 6,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.35 : 11,262.87 = 5,019.39 : x
  2. Step 2: Convert to fraction form
    8,164.35/11,262.87 = 5,019.39/x
  3. Step 3: Cross multiply
    8,164.35x = 11,262.87 × 5,019.39
  4. Step 4: Simplify right side
    8,164.35x = 56,532,737.05
  5. Step 5: Solve for x
    x = 56,532,737.05/8,164.35
  6. Step 6: Final answer
    x = 6,924.34

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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.