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Finding the Fourth Proportional to 6,350.81, 8,769.87 and 4,116.42

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Solution

The fourth proportional to 6,350.81, 8,769.87 and 4,116.42 is: 5,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.81 : 8,769.87 = 4,116.42 : x
  2. Step 2: Convert to fraction form
    6,350.81/8,769.87 = 4,116.42/x
  3. Step 3: Cross multiply
    6,350.81x = 8,769.87 × 4,116.42
  4. Step 4: Simplify right side
    6,350.81x = 36,100,468.27
  5. Step 5: Solve for x
    x = 36,100,468.27/6,350.81
  6. Step 6: Final answer
    x = 5,684.39

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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.