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Finding the Fourth Proportional to 11,641.26, 17,461.94 and 6,096.24

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Solution

The fourth proportional to 11,641.26, 17,461.94 and 6,096.24 is: 9,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.26 : 17,461.94 = 6,096.24 : x
  2. Step 2: Convert to fraction form
    11,641.26/17,461.94 = 6,096.24/x
  3. Step 3: Cross multiply
    11,641.26x = 17,461.94 × 6,096.24
  4. Step 4: Simplify right side
    11,641.26x = 106,452,146.62
  5. Step 5: Solve for x
    x = 106,452,146.62/11,641.26
  6. Step 6: Final answer
    x = 9,144.38

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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.