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Finding the Fourth Proportional to 11,684.86, 17,543.68 and 5,989.92

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Solution

The fourth proportional to 11,684.86, 17,543.68 and 5,989.92 is: 8,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.86 : 17,543.68 = 5,989.92 : x
  2. Step 2: Convert to fraction form
    11,684.86/17,543.68 = 5,989.92/x
  3. Step 3: Cross multiply
    11,684.86x = 17,543.68 × 5,989.92
  4. Step 4: Simplify right side
    11,684.86x = 105,085,239.71
  5. Step 5: Solve for x
    x = 105,085,239.71/11,684.86
  6. Step 6: Final answer
    x = 8,993.28

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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.