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Finding the Fourth Proportional to 12,138.12, 16,751.46 and 6,760.99

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Solution

The fourth proportional to 12,138.12, 16,751.46 and 6,760.99 is: 9,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.12 : 16,751.46 = 6,760.99 : x
  2. Step 2: Convert to fraction form
    12,138.12/16,751.46 = 6,760.99/x
  3. Step 3: Cross multiply
    12,138.12x = 16,751.46 × 6,760.99
  4. Step 4: Simplify right side
    12,138.12x = 113,256,335.98
  5. Step 5: Solve for x
    x = 113,256,335.98/12,138.12
  6. Step 6: Final answer
    x = 9,330.63

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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.