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Finding the Fourth Proportional to 11,213.87, 16,822.02 and 4,197.23

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Solution

The fourth proportional to 11,213.87, 16,822.02 and 4,197.23 is: 6,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.87 : 16,822.02 = 4,197.23 : x
  2. Step 2: Convert to fraction form
    11,213.87/16,822.02 = 4,197.23/x
  3. Step 3: Cross multiply
    11,213.87x = 16,822.02 × 4,197.23
  4. Step 4: Simplify right side
    11,213.87x = 70,605,887.00
  5. Step 5: Solve for x
    x = 70,605,887.00/11,213.87
  6. Step 6: Final answer
    x = 6,296.30

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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.