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Finding the Fourth Proportional to 11,778.40, 17,651.52 and 5,938.96

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Solution

The fourth proportional to 11,778.40, 17,651.52 and 5,938.96 is: 8,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.40 : 17,651.52 = 5,938.96 : x
  2. Step 2: Convert to fraction form
    11,778.40/17,651.52 = 5,938.96/x
  3. Step 3: Cross multiply
    11,778.40x = 17,651.52 × 5,938.96
  4. Step 4: Simplify right side
    11,778.40x = 104,831,671.22
  5. Step 5: Solve for x
    x = 104,831,671.22/11,778.40
  6. Step 6: Final answer
    x = 8,900.33

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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.