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Finding the Fourth Proportional to 11,922.40, 17,876.40 and 5,347.36

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Solution

The fourth proportional to 11,922.40, 17,876.40 and 5,347.36 is: 8,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.40 : 17,876.40 = 5,347.36 : x
  2. Step 2: Convert to fraction form
    11,922.40/17,876.40 = 5,347.36/x
  3. Step 3: Cross multiply
    11,922.40x = 17,876.40 × 5,347.36
  4. Step 4: Simplify right side
    11,922.40x = 95,591,546.30
  5. Step 5: Solve for x
    x = 95,591,546.30/11,922.40
  6. Step 6: Final answer
    x = 8,017.81

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