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Finding the Fourth Proportional to 8,234.08, 11,353.08 and 5,718.32

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Solution

The fourth proportional to 8,234.08, 11,353.08 and 5,718.32 is: 7,884.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.08 : 11,353.08 = 5,718.32 : x
  2. Step 2: Convert to fraction form
    8,234.08/11,353.08 = 5,718.32/x
  3. Step 3: Cross multiply
    8,234.08x = 11,353.08 × 5,718.32
  4. Step 4: Simplify right side
    8,234.08x = 64,920,544.43
  5. Step 5: Solve for x
    x = 64,920,544.43/8,234.08
  6. Step 6: Final answer
    x = 7,884.37

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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.