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Finding the Fourth Proportional to 8,226.30, 12,328.65 and 3,291.90

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Solution

The fourth proportional to 8,226.30, 12,328.65 and 3,291.90 is: 4,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.30 : 12,328.65 = 3,291.90 : x
  2. Step 2: Convert to fraction form
    8,226.30/12,328.65 = 3,291.90/x
  3. Step 3: Cross multiply
    8,226.30x = 12,328.65 × 3,291.90
  4. Step 4: Simplify right side
    8,226.30x = 40,584,682.94
  5. Step 5: Solve for x
    x = 40,584,682.94/8,226.30
  6. Step 6: Final answer
    x = 4,933.53

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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.