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Finding the Fourth Proportional to 8,723.16, 12,033.73 and 5,183.86

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Solution

The fourth proportional to 8,723.16, 12,033.73 and 5,183.86 is: 7,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.16 : 12,033.73 = 5,183.86 : x
  2. Step 2: Convert to fraction form
    8,723.16/12,033.73 = 5,183.86/x
  3. Step 3: Cross multiply
    8,723.16x = 12,033.73 × 5,183.86
  4. Step 4: Simplify right side
    8,723.16x = 62,381,171.60
  5. Step 5: Solve for x
    x = 62,381,171.60/8,723.16
  6. Step 6: Final answer
    x = 7,151.21

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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.