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Finding the Fourth Proportional to 11,676.25, 16,113.23 and 7,484.50

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Solution

The fourth proportional to 11,676.25, 16,113.23 and 7,484.50 is: 10,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.25 : 16,113.23 = 7,484.50 : x
  2. Step 2: Convert to fraction form
    11,676.25/16,113.23 = 7,484.50/x
  3. Step 3: Cross multiply
    11,676.25x = 16,113.23 × 7,484.50
  4. Step 4: Simplify right side
    11,676.25x = 120,599,469.94
  5. Step 5: Solve for x
    x = 120,599,469.94/11,676.25
  6. Step 6: Final answer
    x = 10,328.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.