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Finding the Fourth Proportional to 11,765.25, 16,239.69 and 7,573.50

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Solution

The fourth proportional to 11,765.25, 16,239.69 and 7,573.50 is: 10,453.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.25 : 16,239.69 = 7,573.50 : x
  2. Step 2: Convert to fraction form
    11,765.25/16,239.69 = 7,573.50/x
  3. Step 3: Cross multiply
    11,765.25x = 16,239.69 × 7,573.50
  4. Step 4: Simplify right side
    11,765.25x = 122,991,292.22
  5. Step 5: Solve for x
    x = 122,991,292.22/11,765.25
  6. Step 6: Final answer
    x = 10,453.78

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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.