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Finding the Fourth Proportional to 8,234.25, 11,363.43 and 4,648.53

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Solution

The fourth proportional to 8,234.25, 11,363.43 and 4,648.53 is: 6,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.25 : 11,363.43 = 4,648.53 : x
  2. Step 2: Convert to fraction form
    8,234.25/11,363.43 = 4,648.53/x
  3. Step 3: Cross multiply
    8,234.25x = 11,363.43 × 4,648.53
  4. Step 4: Simplify right side
    8,234.25x = 52,823,245.26
  5. Step 5: Solve for x
    x = 52,823,245.26/8,234.25
  6. Step 6: Final answer
    x = 6,415.06

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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.