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Finding the Fourth Proportional to 11,161.28, 16,742.28 and 5,314.88

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Solution

The fourth proportional to 11,161.28, 16,742.28 and 5,314.88 is: 7,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.28 : 16,742.28 = 5,314.88 : x
  2. Step 2: Convert to fraction form
    11,161.28/16,742.28 = 5,314.88/x
  3. Step 3: Cross multiply
    11,161.28x = 16,742.28 × 5,314.88
  4. Step 4: Simplify right side
    11,161.28x = 88,983,209.13
  5. Step 5: Solve for x
    x = 88,983,209.13/11,161.28
  6. Step 6: Final answer
    x = 7,972.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.