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Finding the Fourth Proportional to 11,969.76, 16,518 and 6,591.96

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Solution

The fourth proportional to 11,969.76, 16,518 and 6,591.96 is: 9,096.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.76 : 16,518 = 6,591.96 : x
  2. Step 2: Convert to fraction form
    11,969.76/16,518 = 6,591.96/x
  3. Step 3: Cross multiply
    11,969.76x = 16,518 × 6,591.96
  4. Step 4: Simplify right side
    11,969.76x = 108,885,995.28
  5. Step 5: Solve for x
    x = 108,885,995.28/11,969.76
  6. Step 6: Final answer
    x = 9,096.76

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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.