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Finding the Fourth Proportional to 10,676.69, 16,012.27 and 3,178.49

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Solution

The fourth proportional to 10,676.69, 16,012.27 and 3,178.49 is: 4,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,676.69 : 16,012.27 = 3,178.49 : x
  2. Step 2: Convert to fraction form
    10,676.69/16,012.27 = 3,178.49/x
  3. Step 3: Cross multiply
    10,676.69x = 16,012.27 × 3,178.49
  4. Step 4: Simplify right side
    10,676.69x = 50,894,840.07
  5. Step 5: Solve for x
    x = 50,894,840.07/10,676.69
  6. Step 6: Final answer
    x = 4,766.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.