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Finding the Fourth Proportional to 7,745.52, 11,613.08 and 2,814.52

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Solution

The fourth proportional to 7,745.52, 11,613.08 and 2,814.52 is: 4,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.52 : 11,613.08 = 2,814.52 : x
  2. Step 2: Convert to fraction form
    7,745.52/11,613.08 = 2,814.52/x
  3. Step 3: Cross multiply
    7,745.52x = 11,613.08 × 2,814.52
  4. Step 4: Simplify right side
    7,745.52x = 32,685,245.92
  5. Step 5: Solve for x
    x = 32,685,245.92/7,745.52
  6. Step 6: Final answer
    x = 4,219.89

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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.