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Finding the Fourth Proportional to 11,334.43, 16,989.93 and 8,206.68

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Solution

The fourth proportional to 11,334.43, 16,989.93 and 8,206.68 is: 12,301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.43 : 16,989.93 = 8,206.68 : x
  2. Step 2: Convert to fraction form
    11,334.43/16,989.93 = 8,206.68/x
  3. Step 3: Cross multiply
    11,334.43x = 16,989.93 × 8,206.68
  4. Step 4: Simplify right side
    11,334.43x = 139,430,918.73
  5. Step 5: Solve for x
    x = 139,430,918.73/11,334.43
  6. Step 6: Final answer
    x = 12,301.54

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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.