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Finding the Fourth Proportional to 10,845.28, 16,256.99 and 8,242.75

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Solution

The fourth proportional to 10,845.28, 16,256.99 and 8,242.75 is: 12,355.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,845.28 : 16,256.99 = 8,242.75 : x
  2. Step 2: Convert to fraction form
    10,845.28/16,256.99 = 8,242.75/x
  3. Step 3: Cross multiply
    10,845.28x = 16,256.99 × 8,242.75
  4. Step 4: Simplify right side
    10,845.28x = 134,002,263.11
  5. Step 5: Solve for x
    x = 134,002,263.11/10,845.28
  6. Step 6: Final answer
    x = 12,355.81

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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.