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Finding the Fourth Proportional to 8,217.52, 12,326.36 and 3,537.24

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Solution

The fourth proportional to 8,217.52, 12,326.36 and 3,537.24 is: 5,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.52 : 12,326.36 = 3,537.24 : x
  2. Step 2: Convert to fraction form
    8,217.52/12,326.36 = 3,537.24/x
  3. Step 3: Cross multiply
    8,217.52x = 12,326.36 × 3,537.24
  4. Step 4: Simplify right side
    8,217.52x = 43,601,293.65
  5. Step 5: Solve for x
    x = 43,601,293.65/8,217.52
  6. Step 6: Final answer
    x = 5,305.89

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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.