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Finding the Fourth Proportional to 11,296.16, 16,945.22 and 2,976.11

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Solution

The fourth proportional to 11,296.16, 16,945.22 and 2,976.11 is: 4,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.16 : 16,945.22 = 2,976.11 : x
  2. Step 2: Convert to fraction form
    11,296.16/16,945.22 = 2,976.11/x
  3. Step 3: Cross multiply
    11,296.16x = 16,945.22 × 2,976.11
  4. Step 4: Simplify right side
    11,296.16x = 50,430,838.69
  5. Step 5: Solve for x
    x = 50,430,838.69/11,296.16
  6. Step 6: Final answer
    x = 4,464.42

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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.