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Finding the Fourth Proportional to 11,451.86, 17,177.80 and 3,661.28

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Solution

The fourth proportional to 11,451.86, 17,177.80 and 3,661.28 is: 5,491.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.86 : 17,177.80 = 3,661.28 : x
  2. Step 2: Convert to fraction form
    11,451.86/17,177.80 = 3,661.28/x
  3. Step 3: Cross multiply
    11,451.86x = 17,177.80 × 3,661.28
  4. Step 4: Simplify right side
    11,451.86x = 62,892,735.58
  5. Step 5: Solve for x
    x = 62,892,735.58/11,451.86
  6. Step 6: Final answer
    x = 5,491.92

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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.