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Finding the Fourth Proportional to 11,420.76, 17,131.26 and 5,179.50

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Solution

The fourth proportional to 11,420.76, 17,131.26 and 5,179.50 is: 7,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420.76 : 17,131.26 = 5,179.50 : x
  2. Step 2: Convert to fraction form
    11,420.76/17,131.26 = 5,179.50/x
  3. Step 3: Cross multiply
    11,420.76x = 17,131.26 × 5,179.50
  4. Step 4: Simplify right side
    11,420.76x = 88,731,361.17
  5. Step 5: Solve for x
    x = 88,731,361.17/11,420.76
  6. Step 6: Final answer
    x = 7,769.30

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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.