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Finding the Fourth Proportional to 10,472.94, 14,451.45 and 5,996.43

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Solution

The fourth proportional to 10,472.94, 14,451.45 and 5,996.43 is: 8,274.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.94 : 14,451.45 = 5,996.43 : x
  2. Step 2: Convert to fraction form
    10,472.94/14,451.45 = 5,996.43/x
  3. Step 3: Cross multiply
    10,472.94x = 14,451.45 × 5,996.43
  4. Step 4: Simplify right side
    10,472.94x = 86,657,006.08
  5. Step 5: Solve for x
    x = 86,657,006.08/10,472.94
  6. Step 6: Final answer
    x = 8,274.37

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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.