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Finding the Fourth Proportional to 10,227.90, 14,105.67 and 7,986.30

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Solution

The fourth proportional to 10,227.90, 14,105.67 and 7,986.30 is: 11,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.90 : 14,105.67 = 7,986.30 : x
  2. Step 2: Convert to fraction form
    10,227.90/14,105.67 = 7,986.30/x
  3. Step 3: Cross multiply
    10,227.90x = 14,105.67 × 7,986.30
  4. Step 4: Simplify right side
    10,227.90x = 112,652,112.32
  5. Step 5: Solve for x
    x = 112,652,112.32/10,227.90
  6. Step 6: Final answer
    x = 11,014.20

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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.