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Finding the Fourth Proportional to 11,642.76, 17,469.29 and 3,851.57

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Solution

The fourth proportional to 11,642.76, 17,469.29 and 3,851.57 is: 5,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.76 : 17,469.29 = 3,851.57 : x
  2. Step 2: Convert to fraction form
    11,642.76/17,469.29 = 3,851.57/x
  3. Step 3: Cross multiply
    11,642.76x = 17,469.29 × 3,851.57
  4. Step 4: Simplify right side
    11,642.76x = 67,284,246.59
  5. Step 5: Solve for x
    x = 67,284,246.59/11,642.76
  6. Step 6: Final answer
    x = 5,779.06

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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.