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Finding the Fourth Proportional to 8,399.72, 11,591.61 and 5,211.83

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Solution

The fourth proportional to 8,399.72, 11,591.61 and 5,211.83 is: 7,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.72 : 11,591.61 = 5,211.83 : x
  2. Step 2: Convert to fraction form
    8,399.72/11,591.61 = 5,211.83/x
  3. Step 3: Cross multiply
    8,399.72x = 11,591.61 × 5,211.83
  4. Step 4: Simplify right side
    8,399.72x = 60,413,510.18
  5. Step 5: Solve for x
    x = 60,413,510.18/8,399.72
  6. Step 6: Final answer
    x = 7,192.32

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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.