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Finding the Fourth Proportional to 10,954.16, 16,431.78 and 5,336.99

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Solution

The fourth proportional to 10,954.16, 16,431.78 and 5,336.99 is: 8,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.16 : 16,431.78 = 5,336.99 : x
  2. Step 2: Convert to fraction form
    10,954.16/16,431.78 = 5,336.99/x
  3. Step 3: Cross multiply
    10,954.16x = 16,431.78 × 5,336.99
  4. Step 4: Simplify right side
    10,954.16x = 87,696,245.02
  5. Step 5: Solve for x
    x = 87,696,245.02/10,954.16
  6. Step 6: Final answer
    x = 8,005.75

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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.