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Finding the Fourth Proportional to 8,234.91, 12,352.75 and 2,688.24

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Solution

The fourth proportional to 8,234.91, 12,352.75 and 2,688.24 is: 4,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.91 : 12,352.75 = 2,688.24 : x
  2. Step 2: Convert to fraction form
    8,234.91/12,352.75 = 2,688.24/x
  3. Step 3: Cross multiply
    8,234.91x = 12,352.75 × 2,688.24
  4. Step 4: Simplify right side
    8,234.91x = 33,207,156.66
  5. Step 5: Solve for x
    x = 33,207,156.66/8,234.91
  6. Step 6: Final answer
    x = 4,032.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.