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Finding the Fourth Proportional to 10,027.91, 13,842.83 and 6,496.85

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Solution

The fourth proportional to 10,027.91, 13,842.83 and 6,496.85 is: 8,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.91 : 13,842.83 = 6,496.85 : x
  2. Step 2: Convert to fraction form
    10,027.91/13,842.83 = 6,496.85/x
  3. Step 3: Cross multiply
    10,027.91x = 13,842.83 × 6,496.85
  4. Step 4: Simplify right side
    10,027.91x = 89,934,790.09
  5. Step 5: Solve for x
    x = 89,934,790.09/10,027.91
  6. Step 6: Final answer
    x = 8,968.45

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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.