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Finding the Fourth Proportional to 10,786.06, 14,883.96 and 6,069.43

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Solution

The fourth proportional to 10,786.06, 14,883.96 and 6,069.43 is: 8,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.06 : 14,883.96 = 6,069.43 : x
  2. Step 2: Convert to fraction form
    10,786.06/14,883.96 = 6,069.43/x
  3. Step 3: Cross multiply
    10,786.06x = 14,883.96 × 6,069.43
  4. Step 4: Simplify right side
    10,786.06x = 90,337,153.34
  5. Step 5: Solve for x
    x = 90,337,153.34/10,786.06
  6. Step 6: Final answer
    x = 8,375.36

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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.