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Finding the Fourth Proportional to 11,838.86, 17,757.69 and 3,518.96

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Solution

The fourth proportional to 11,838.86, 17,757.69 and 3,518.96 is: 5,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.86 : 17,757.69 = 3,518.96 : x
  2. Step 2: Convert to fraction form
    11,838.86/17,757.69 = 3,518.96/x
  3. Step 3: Cross multiply
    11,838.86x = 17,757.69 × 3,518.96
  4. Step 4: Simplify right side
    11,838.86x = 62,488,600.80
  5. Step 5: Solve for x
    x = 62,488,600.80/11,838.86
  6. Step 6: Final answer
    x = 5,278.26

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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.