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Finding the Fourth Proportional to 11,535.86, 17,301.90 and 4,138.94

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Solution

The fourth proportional to 11,535.86, 17,301.90 and 4,138.94 is: 6,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,535.86 : 17,301.90 = 4,138.94 : x
  2. Step 2: Convert to fraction form
    11,535.86/17,301.90 = 4,138.94/x
  3. Step 3: Cross multiply
    11,535.86x = 17,301.90 × 4,138.94
  4. Step 4: Simplify right side
    11,535.86x = 71,611,525.99
  5. Step 5: Solve for x
    x = 71,611,525.99/11,535.86
  6. Step 6: Final answer
    x = 6,207.73

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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.