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Finding the Fourth Proportional to 8,272.50, 11,415.90 and 4,687.44

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Solution

The fourth proportional to 8,272.50, 11,415.90 and 4,687.44 is: 6,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.50 : 11,415.90 = 4,687.44 : x
  2. Step 2: Convert to fraction form
    8,272.50/11,415.90 = 4,687.44/x
  3. Step 3: Cross multiply
    8,272.50x = 11,415.90 × 4,687.44
  4. Step 4: Simplify right side
    8,272.50x = 53,511,346.30
  5. Step 5: Solve for x
    x = 53,511,346.30/8,272.50
  6. Step 6: Final answer
    x = 6,468.58

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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.