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Finding the Fourth Proportional to 11,640.26, 17,462.02 and 3,740.12

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Solution

The fourth proportional to 11,640.26, 17,462.02 and 3,740.12 is: 5,610.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.26 : 17,462.02 = 3,740.12 : x
  2. Step 2: Convert to fraction form
    11,640.26/17,462.02 = 3,740.12/x
  3. Step 3: Cross multiply
    11,640.26x = 17,462.02 × 3,740.12
  4. Step 4: Simplify right side
    11,640.26x = 65,310,050.24
  5. Step 5: Solve for x
    x = 65,310,050.24/11,640.26
  6. Step 6: Final answer
    x = 5,610.70

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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.