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Finding the Fourth Proportional to 10,628.35, 14,667.09 and 5,912.65

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Solution

The fourth proportional to 10,628.35, 14,667.09 and 5,912.65 is: 8,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.35 : 14,667.09 = 5,912.65 : x
  2. Step 2: Convert to fraction form
    10,628.35/14,667.09 = 5,912.65/x
  3. Step 3: Cross multiply
    10,628.35x = 14,667.09 × 5,912.65
  4. Step 4: Simplify right side
    10,628.35x = 86,721,369.69
  5. Step 5: Solve for x
    x = 86,721,369.69/10,628.35
  6. Step 6: Final answer
    x = 8,159.44

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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.