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Finding the Fourth Proportional to 11,641.74, 17,465.49 and 3,851.34

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Solution

The fourth proportional to 11,641.74, 17,465.49 and 3,851.34 is: 5,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.74 : 17,465.49 = 3,851.34 : x
  2. Step 2: Convert to fraction form
    11,641.74/17,465.49 = 3,851.34/x
  3. Step 3: Cross multiply
    11,641.74x = 17,465.49 × 3,851.34
  4. Step 4: Simplify right side
    11,641.74x = 67,265,540.26
  5. Step 5: Solve for x
    x = 67,265,540.26/11,641.74
  6. Step 6: Final answer
    x = 5,777.96

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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.