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Finding the Fourth Proportional to 11,649.90, 16,082.31 and 7,460.54

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Solution

The fourth proportional to 11,649.90, 16,082.31 and 7,460.54 is: 10,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.90 : 16,082.31 = 7,460.54 : x
  2. Step 2: Convert to fraction form
    11,649.90/16,082.31 = 7,460.54/x
  3. Step 3: Cross multiply
    11,649.90x = 16,082.31 × 7,460.54
  4. Step 4: Simplify right side
    11,649.90x = 119,982,717.05
  5. Step 5: Solve for x
    x = 119,982,717.05/11,649.90
  6. Step 6: Final answer
    x = 10,299.03

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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.