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Finding the Fourth Proportional to 10,628.70, 14,667.27 and 5,912.94

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Solution

The fourth proportional to 10,628.70, 14,667.27 and 5,912.94 is: 8,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.70 : 14,667.27 = 5,912.94 : x
  2. Step 2: Convert to fraction form
    10,628.70/14,667.27 = 5,912.94/x
  3. Step 3: Cross multiply
    10,628.70x = 14,667.27 × 5,912.94
  4. Step 4: Simplify right side
    10,628.70x = 86,726,687.47
  5. Step 5: Solve for x
    x = 86,726,687.47/10,628.70
  6. Step 6: Final answer
    x = 8,159.67

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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.