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Finding the Fourth Proportional to 8,233.85, 12,350.88 and 6,586.31

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Solution

The fourth proportional to 8,233.85, 12,350.88 and 6,586.31 is: 9,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.85 : 12,350.88 = 6,586.31 : x
  2. Step 2: Convert to fraction form
    8,233.85/12,350.88 = 6,586.31/x
  3. Step 3: Cross multiply
    8,233.85x = 12,350.88 × 6,586.31
  4. Step 4: Simplify right side
    8,233.85x = 81,346,755.33
  5. Step 5: Solve for x
    x = 81,346,755.33/8,233.85
  6. Step 6: Final answer
    x = 9,879.55

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