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Finding the Fourth Proportional to 11,200.30, 16,796.40 and 5,651.80

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Solution

The fourth proportional to 11,200.30, 16,796.40 and 5,651.80 is: 8,475.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,200.30 : 16,796.40 = 5,651.80 : x
  2. Step 2: Convert to fraction form
    11,200.30/16,796.40 = 5,651.80/x
  3. Step 3: Cross multiply
    11,200.30x = 16,796.40 × 5,651.80
  4. Step 4: Simplify right side
    11,200.30x = 94,929,893.52
  5. Step 5: Solve for x
    x = 94,929,893.52/11,200.30
  6. Step 6: Final answer
    x = 8,475.66

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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.