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Finding the Fourth Proportional to 10,190.75, 14,086.77 and 8,502.31

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Solution

The fourth proportional to 10,190.75, 14,086.77 and 8,502.31 is: 11,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.75 : 14,086.77 = 8,502.31 : x
  2. Step 2: Convert to fraction form
    10,190.75/14,086.77 = 8,502.31/x
  3. Step 3: Cross multiply
    10,190.75x = 14,086.77 × 8,502.31
  4. Step 4: Simplify right side
    10,190.75x = 119,770,085.44
  5. Step 5: Solve for x
    x = 119,770,085.44/10,190.75
  6. Step 6: Final answer
    x = 11,752.82

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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.