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Finding the Fourth Proportional to 11,856.92, 17,771.20 and 5,523.26

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Solution

The fourth proportional to 11,856.92, 17,771.20 and 5,523.26 is: 8,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.92 : 17,771.20 = 5,523.26 : x
  2. Step 2: Convert to fraction form
    11,856.92/17,771.20 = 5,523.26/x
  3. Step 3: Cross multiply
    11,856.92x = 17,771.20 × 5,523.26
  4. Step 4: Simplify right side
    11,856.92x = 98,154,958.11
  5. Step 5: Solve for x
    x = 98,154,958.11/11,856.92
  6. Step 6: Final answer
    x = 8,278.28

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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.