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Finding the Fourth Proportional to 10,255.97, 14,149.43 and 7,866.37

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Solution

The fourth proportional to 10,255.97, 14,149.43 and 7,866.37 is: 10,852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.97 : 14,149.43 = 7,866.37 : x
  2. Step 2: Convert to fraction form
    10,255.97/14,149.43 = 7,866.37/x
  3. Step 3: Cross multiply
    10,255.97x = 14,149.43 × 7,866.37
  4. Step 4: Simplify right side
    10,255.97x = 111,304,624.18
  5. Step 5: Solve for x
    x = 111,304,624.18/10,255.97
  6. Step 6: Final answer
    x = 10,852.67

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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.