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Finding the Fourth Proportional to 11,766.34, 16,219.44 and 8,403.22

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Solution

The fourth proportional to 11,766.34, 16,219.44 and 8,403.22 is: 11,583.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.34 : 16,219.44 = 8,403.22 : x
  2. Step 2: Convert to fraction form
    11,766.34/16,219.44 = 8,403.22/x
  3. Step 3: Cross multiply
    11,766.34x = 16,219.44 × 8,403.22
  4. Step 4: Simplify right side
    11,766.34x = 136,295,522.60
  5. Step 5: Solve for x
    x = 136,295,522.60/11,766.34
  6. Step 6: Final answer
    x = 11,583.51

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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.