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Finding the Fourth Proportional to 12,115.48, 16,720.75 and 6,738.46

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Solution

The fourth proportional to 12,115.48, 16,720.75 and 6,738.46 is: 9,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.48 : 16,720.75 = 6,738.46 : x
  2. Step 2: Convert to fraction form
    12,115.48/16,720.75 = 6,738.46/x
  3. Step 3: Cross multiply
    12,115.48x = 16,720.75 × 6,738.46
  4. Step 4: Simplify right side
    12,115.48x = 112,672,105.05
  5. Step 5: Solve for x
    x = 112,672,105.05/12,115.48
  6. Step 6: Final answer
    x = 9,299.85

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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.