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Finding the Fourth Proportional to 6,351.63, 8,764 and 4,113.19

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Solution

The fourth proportional to 6,351.63, 8,764 and 4,113.19 is: 5,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.63 : 8,764 = 4,113.19 : x
  2. Step 2: Convert to fraction form
    6,351.63/8,764 = 4,113.19/x
  3. Step 3: Cross multiply
    6,351.63x = 8,764 × 4,113.19
  4. Step 4: Simplify right side
    6,351.63x = 36,047,997.16
  5. Step 5: Solve for x
    x = 36,047,997.16/6,351.63
  6. Step 6: Final answer
    x = 5,675.39

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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.