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Finding the Fourth Proportional to 10,856.37, 16,286.64 and 7,161.75

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Solution

The fourth proportional to 10,856.37, 16,286.64 and 7,161.75 is: 10,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.37 : 16,286.64 = 7,161.75 : x
  2. Step 2: Convert to fraction form
    10,856.37/16,286.64 = 7,161.75/x
  3. Step 3: Cross multiply
    10,856.37x = 16,286.64 × 7,161.75
  4. Step 4: Simplify right side
    10,856.37x = 116,640,844.02
  5. Step 5: Solve for x
    x = 116,640,844.02/10,856.37
  6. Step 6: Final answer
    x = 10,744.00

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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.