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Finding the Fourth Proportional to 11,686.83, 17,523.77 and 3,891.39

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Solution

The fourth proportional to 11,686.83, 17,523.77 and 3,891.39 is: 5,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.83 : 17,523.77 = 3,891.39 : x
  2. Step 2: Convert to fraction form
    11,686.83/17,523.77 = 3,891.39/x
  3. Step 3: Cross multiply
    11,686.83x = 17,523.77 × 3,891.39
  4. Step 4: Simplify right side
    11,686.83x = 68,191,803.88
  5. Step 5: Solve for x
    x = 68,191,803.88/11,686.83
  6. Step 6: Final answer
    x = 5,834.93

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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.