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Finding the Fourth Proportional to 11,740, 17,610.10 and 2,974.92

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Solution

The fourth proportional to 11,740, 17,610.10 and 2,974.92 is: 4,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740 : 17,610.10 = 2,974.92 : x
  2. Step 2: Convert to fraction form
    11,740/17,610.10 = 2,974.92/x
  3. Step 3: Cross multiply
    11,740x = 17,610.10 × 2,974.92
  4. Step 4: Simplify right side
    11,740x = 52,388,638.69
  5. Step 5: Solve for x
    x = 52,388,638.69/11,740
  6. Step 6: Final answer
    x = 4,462.41

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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.