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Finding the Fourth Proportional to 8,234.75, 11,363.96 and 4,508.75

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Solution

The fourth proportional to 8,234.75, 11,363.96 and 4,508.75 is: 6,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.75 : 11,363.96 = 4,508.75 : x
  2. Step 2: Convert to fraction form
    8,234.75/11,363.96 = 4,508.75/x
  3. Step 3: Cross multiply
    8,234.75x = 11,363.96 × 4,508.75
  4. Step 4: Simplify right side
    8,234.75x = 51,237,254.65
  5. Step 5: Solve for x
    x = 51,237,254.65/8,234.75
  6. Step 6: Final answer
    x = 6,222.08

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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.