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Finding the Fourth Proportional to 11,454.14, 17,180.98 and 3,662.95

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Solution

The fourth proportional to 11,454.14, 17,180.98 and 3,662.95 is: 5,494.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,454.14 : 17,180.98 = 3,662.95 : x
  2. Step 2: Convert to fraction form
    11,454.14/17,180.98 = 3,662.95/x
  3. Step 3: Cross multiply
    11,454.14x = 17,180.98 × 3,662.95
  4. Step 4: Simplify right side
    11,454.14x = 62,933,070.69
  5. Step 5: Solve for x
    x = 62,933,070.69/11,454.14
  6. Step 6: Final answer
    x = 5,494.35

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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.