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Finding the Fourth Proportional to 8,234.23, 11,363.21 and 4,457.39

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Solution

The fourth proportional to 8,234.23, 11,363.21 and 4,457.39 is: 6,151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.23 : 11,363.21 = 4,457.39 : x
  2. Step 2: Convert to fraction form
    8,234.23/11,363.21 = 4,457.39/x
  3. Step 3: Cross multiply
    8,234.23x = 11,363.21 × 4,457.39
  4. Step 4: Simplify right side
    8,234.23x = 50,650,179.52
  5. Step 5: Solve for x
    x = 50,650,179.52/8,234.23
  6. Step 6: Final answer
    x = 6,151.18

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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.