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Finding the Fourth Proportional to 10,672.36, 14,729.25 and 5,957.62

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Solution

The fourth proportional to 10,672.36, 14,729.25 and 5,957.62 is: 8,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.36 : 14,729.25 = 5,957.62 : x
  2. Step 2: Convert to fraction form
    10,672.36/14,729.25 = 5,957.62/x
  3. Step 3: Cross multiply
    10,672.36x = 14,729.25 × 5,957.62
  4. Step 4: Simplify right side
    10,672.36x = 87,751,274.39
  5. Step 5: Solve for x
    x = 87,751,274.39/10,672.36
  6. Step 6: Final answer
    x = 8,222.29

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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.