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Finding the Fourth Proportional to 11,014.56, 16,524.54 and 5,164.35

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Solution

The fourth proportional to 11,014.56, 16,524.54 and 5,164.35 is: 7,747.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.56 : 16,524.54 = 5,164.35 : x
  2. Step 2: Convert to fraction form
    11,014.56/16,524.54 = 5,164.35/x
  3. Step 3: Cross multiply
    11,014.56x = 16,524.54 × 5,164.35
  4. Step 4: Simplify right side
    11,014.56x = 85,338,508.15
  5. Step 5: Solve for x
    x = 85,338,508.15/11,014.56
  6. Step 6: Final answer
    x = 7,747.79

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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.