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Finding the Fourth Proportional to 10,412.45, 14,369.43 and 5,936.63

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Solution

The fourth proportional to 10,412.45, 14,369.43 and 5,936.63 is: 8,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.45 : 14,369.43 = 5,936.63 : x
  2. Step 2: Convert to fraction form
    10,412.45/14,369.43 = 5,936.63/x
  3. Step 3: Cross multiply
    10,412.45x = 14,369.43 × 5,936.63
  4. Step 4: Simplify right side
    10,412.45x = 85,305,939.64
  5. Step 5: Solve for x
    x = 85,305,939.64/10,412.45
  6. Step 6: Final answer
    x = 8,192.69

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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.