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Finding the Fourth Proportional to 11,193.40, 16,770.60 and 5,989.96

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Solution

The fourth proportional to 11,193.40, 16,770.60 and 5,989.96 is: 8,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,193.40 : 16,770.60 = 5,989.96 : x
  2. Step 2: Convert to fraction form
    11,193.40/16,770.60 = 5,989.96/x
  3. Step 3: Cross multiply
    11,193.40x = 16,770.60 × 5,989.96
  4. Step 4: Simplify right side
    11,193.40x = 100,455,223.18
  5. Step 5: Solve for x
    x = 100,455,223.18/11,193.40
  6. Step 6: Final answer
    x = 8,974.50

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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.