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Finding the Fourth Proportional to 11,720.53, 16,172.90 and 9,336.57

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Solution

The fourth proportional to 11,720.53, 16,172.90 and 9,336.57 is: 12,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.53 : 16,172.90 = 9,336.57 : x
  2. Step 2: Convert to fraction form
    11,720.53/16,172.90 = 9,336.57/x
  3. Step 3: Cross multiply
    11,720.53x = 16,172.90 × 9,336.57
  4. Step 4: Simplify right side
    11,720.53x = 150,999,484.12
  5. Step 5: Solve for x
    x = 150,999,484.12/11,720.53
  6. Step 6: Final answer
    x = 12,883.33

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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.