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Finding the Fourth Proportional to 11,961.42, 16,505.00 and 7,180.35

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Solution

The fourth proportional to 11,961.42, 16,505.00 and 7,180.35 is: 9,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,961.42 : 16,505.00 = 7,180.35 : x
  2. Step 2: Convert to fraction form
    11,961.42/16,505.00 = 7,180.35/x
  3. Step 3: Cross multiply
    11,961.42x = 16,505.00 × 7,180.35
  4. Step 4: Simplify right side
    11,961.42x = 118,511,640.85
  5. Step 5: Solve for x
    x = 118,511,640.85/11,961.42
  6. Step 6: Final answer
    x = 9,907.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.