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Finding the Fourth Proportional to 11,567.86, 17,367.68 and 5,950.17

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Solution

The fourth proportional to 11,567.86, 17,367.68 and 5,950.17 is: 8,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.86 : 17,367.68 = 5,950.17 : x
  2. Step 2: Convert to fraction form
    11,567.86/17,367.68 = 5,950.17/x
  3. Step 3: Cross multiply
    11,567.86x = 17,367.68 × 5,950.17
  4. Step 4: Simplify right side
    11,567.86x = 103,340,612.88
  5. Step 5: Solve for x
    x = 103,340,612.88/11,567.86
  6. Step 6: Final answer
    x = 8,933.43

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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.