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Finding the Fourth Proportional to 6,357.27, 8,767 and 4,118.03

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Solution

The fourth proportional to 6,357.27, 8,767 and 4,118.03 is: 5,678.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.27 : 8,767 = 4,118.03 : x
  2. Step 2: Convert to fraction form
    6,357.27/8,767 = 4,118.03/x
  3. Step 3: Cross multiply
    6,357.27x = 8,767 × 4,118.03
  4. Step 4: Simplify right side
    6,357.27x = 36,102,769.01
  5. Step 5: Solve for x
    x = 36,102,769.01/6,357.27
  6. Step 6: Final answer
    x = 5,678.97

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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.