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Finding the Fourth Proportional to 11,989.86, 16,545.39 and 6,684.57

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Solution

The fourth proportional to 11,989.86, 16,545.39 and 6,684.57 is: 9,224.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,989.86 : 16,545.39 = 6,684.57 : x
  2. Step 2: Convert to fraction form
    11,989.86/16,545.39 = 6,684.57/x
  3. Step 3: Cross multiply
    11,989.86x = 16,545.39 × 6,684.57
  4. Step 4: Simplify right side
    11,989.86x = 110,598,817.63
  5. Step 5: Solve for x
    x = 110,598,817.63/11,989.86
  6. Step 6: Final answer
    x = 9,224.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.