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Finding the Fourth Proportional to 5,967, 8,236.67 and 5,124.31

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Solution

The fourth proportional to 5,967, 8,236.67 and 5,124.31 is: 7,073.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967 : 8,236.67 = 5,124.31 : x
  2. Step 2: Convert to fraction form
    5,967/8,236.67 = 5,124.31/x
  3. Step 3: Cross multiply
    5,967x = 8,236.67 × 5,124.31
  4. Step 4: Simplify right side
    5,967x = 42,207,204.23
  5. Step 5: Solve for x
    x = 42,207,204.23/5,967
  6. Step 6: Final answer
    x = 7,073.44

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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.