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Finding the Fourth Proportional to 8,286.30, 12,432.74 and 3,021.65

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Solution

The fourth proportional to 8,286.30, 12,432.74 and 3,021.65 is: 4,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.30 : 12,432.74 = 3,021.65 : x
  2. Step 2: Convert to fraction form
    8,286.30/12,432.74 = 3,021.65/x
  3. Step 3: Cross multiply
    8,286.30x = 12,432.74 × 3,021.65
  4. Step 4: Simplify right side
    8,286.30x = 37,567,445.10
  5. Step 5: Solve for x
    x = 37,567,445.10/8,286.30
  6. Step 6: Final answer
    x = 4,533.68

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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.