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Finding the Fourth Proportional to 6,183.77, 8,532.38 and 5,002.79

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Solution

The fourth proportional to 6,183.77, 8,532.38 and 5,002.79 is: 6,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.77 : 8,532.38 = 5,002.79 : x
  2. Step 2: Convert to fraction form
    6,183.77/8,532.38 = 5,002.79/x
  3. Step 3: Cross multiply
    6,183.77x = 8,532.38 × 5,002.79
  4. Step 4: Simplify right side
    6,183.77x = 42,685,637.66
  5. Step 5: Solve for x
    x = 42,685,637.66/6,183.77
  6. Step 6: Final answer
    x = 6,902.86

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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.