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Finding the Fourth Proportional to 11,185.86, 16,780.84 and 3,689.86

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Solution

The fourth proportional to 11,185.86, 16,780.84 and 3,689.86 is: 5,535.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.86 : 16,780.84 = 3,689.86 : x
  2. Step 2: Convert to fraction form
    11,185.86/16,780.84 = 3,689.86/x
  3. Step 3: Cross multiply
    11,185.86x = 16,780.84 × 3,689.86
  4. Step 4: Simplify right side
    11,185.86x = 61,918,950.28
  5. Step 5: Solve for x
    x = 61,918,950.28/11,185.86
  6. Step 6: Final answer
    x = 5,535.47

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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.