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Finding the Fourth Proportional to 11,832.41, 16,328.74 and 6,797.60

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Solution

The fourth proportional to 11,832.41, 16,328.74 and 6,797.60 is: 9,380.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.41 : 16,328.74 = 6,797.60 : x
  2. Step 2: Convert to fraction form
    11,832.41/16,328.74 = 6,797.60/x
  3. Step 3: Cross multiply
    11,832.41x = 16,328.74 × 6,797.60
  4. Step 4: Simplify right side
    11,832.41x = 110,996,243.02
  5. Step 5: Solve for x
    x = 110,996,243.02/11,832.41
  6. Step 6: Final answer
    x = 9,380.70

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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.