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Finding the Fourth Proportional to 8,234.12, 11,362.98 and 4,508.20

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Solution

The fourth proportional to 8,234.12, 11,362.98 and 4,508.20 is: 6,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.12 : 11,362.98 = 4,508.20 : x
  2. Step 2: Convert to fraction form
    8,234.12/11,362.98 = 4,508.20/x
  3. Step 3: Cross multiply
    8,234.12x = 11,362.98 × 4,508.20
  4. Step 4: Simplify right side
    8,234.12x = 51,226,586.44
  5. Step 5: Solve for x
    x = 51,226,586.44/8,234.12
  6. Step 6: Final answer
    x = 6,221.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.