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Finding the Fourth Proportional to 11,221.75, 16,832.63 and 4,296.25

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Solution

The fourth proportional to 11,221.75, 16,832.63 and 4,296.25 is: 6,444.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.75 : 16,832.63 = 4,296.25 : x
  2. Step 2: Convert to fraction form
    11,221.75/16,832.63 = 4,296.25/x
  3. Step 3: Cross multiply
    11,221.75x = 16,832.63 × 4,296.25
  4. Step 4: Simplify right side
    11,221.75x = 72,317,165.16
  5. Step 5: Solve for x
    x = 72,317,165.16/11,221.75
  6. Step 6: Final answer
    x = 6,444.38

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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.