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Finding the Fourth Proportional to 10,674.02, 14,730.83 and 5,958.30

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Solution

The fourth proportional to 10,674.02, 14,730.83 and 5,958.30 is: 8,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.02 : 14,730.83 = 5,958.30 : x
  2. Step 2: Convert to fraction form
    10,674.02/14,730.83 = 5,958.30/x
  3. Step 3: Cross multiply
    10,674.02x = 14,730.83 × 5,958.30
  4. Step 4: Simplify right side
    10,674.02x = 87,770,704.39
  5. Step 5: Solve for x
    x = 87,770,704.39/10,674.02
  6. Step 6: Final answer
    x = 8,222.83

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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.