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Finding the Fourth Proportional to 6,827.52, 10,243.20 and 2,445.44

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Solution

The fourth proportional to 6,827.52, 10,243.20 and 2,445.44 is: 3,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.52 : 10,243.20 = 2,445.44 : x
  2. Step 2: Convert to fraction form
    6,827.52/10,243.20 = 2,445.44/x
  3. Step 3: Cross multiply
    6,827.52x = 10,243.20 × 2,445.44
  4. Step 4: Simplify right side
    6,827.52x = 25,049,131.01
  5. Step 5: Solve for x
    x = 25,049,131.01/6,827.52
  6. Step 6: Final answer
    x = 3,668.85

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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.