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Finding the Fourth Proportional to 11,672.67, 16,125.85 and 7,649.06

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Solution

The fourth proportional to 11,672.67, 16,125.85 and 7,649.06 is: 10,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.67 : 16,125.85 = 7,649.06 : x
  2. Step 2: Convert to fraction form
    11,672.67/16,125.85 = 7,649.06/x
  3. Step 3: Cross multiply
    11,672.67x = 16,125.85 × 7,649.06
  4. Step 4: Simplify right side
    11,672.67x = 123,347,505.05
  5. Step 5: Solve for x
    x = 123,347,505.05/11,672.67
  6. Step 6: Final answer
    x = 10,567.21

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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.