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Finding the Fourth Proportional to 11,452.66, 17,179.29 and 3,661.47

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Solution

The fourth proportional to 11,452.66, 17,179.29 and 3,661.47 is: 5,492.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.66 : 17,179.29 = 3,661.47 : x
  2. Step 2: Convert to fraction form
    11,452.66/17,179.29 = 3,661.47/x
  3. Step 3: Cross multiply
    11,452.66x = 17,179.29 × 3,661.47
  4. Step 4: Simplify right side
    11,452.66x = 62,901,454.96
  5. Step 5: Solve for x
    x = 62,901,454.96/11,452.66
  6. Step 6: Final answer
    x = 5,492.30

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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.