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Finding the Fourth Proportional to 11,322.32, 16,961.38 and 7,414.88

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Solution

The fourth proportional to 11,322.32, 16,961.38 and 7,414.88 is: 11,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.32 : 16,961.38 = 7,414.88 : x
  2. Step 2: Convert to fraction form
    11,322.32/16,961.38 = 7,414.88/x
  3. Step 3: Cross multiply
    11,322.32x = 16,961.38 × 7,414.88
  4. Step 4: Simplify right side
    11,322.32x = 125,766,597.33
  5. Step 5: Solve for x
    x = 125,766,597.33/11,322.32
  6. Step 6: Final answer
    x = 11,107.85

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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.