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Finding the Fourth Proportional to 11,650.88, 16,073.70 and 7,673.96

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Solution

The fourth proportional to 11,650.88, 16,073.70 and 7,673.96 is: 10,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.88 : 16,073.70 = 7,673.96 : x
  2. Step 2: Convert to fraction form
    11,650.88/16,073.70 = 7,673.96/x
  3. Step 3: Cross multiply
    11,650.88x = 16,073.70 × 7,673.96
  4. Step 4: Simplify right side
    11,650.88x = 123,348,930.85
  5. Step 5: Solve for x
    x = 123,348,930.85/11,650.88
  6. Step 6: Final answer
    x = 10,587.09

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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.