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Finding the Fourth Proportional to 11,614.24, 16,028.94 and 7,366.60

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Solution

The fourth proportional to 11,614.24, 16,028.94 and 7,366.60 is: 10,166.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.24 : 16,028.94 = 7,366.60 : x
  2. Step 2: Convert to fraction form
    11,614.24/16,028.94 = 7,366.60/x
  3. Step 3: Cross multiply
    11,614.24x = 16,028.94 × 7,366.60
  4. Step 4: Simplify right side
    11,614.24x = 118,078,789.40
  5. Step 5: Solve for x
    x = 118,078,789.40/11,614.24
  6. Step 6: Final answer
    x = 10,166.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.