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Finding the Fourth Proportional to 8,289.06, 12,431.27 and 3,289.18

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Solution

The fourth proportional to 8,289.06, 12,431.27 and 3,289.18 is: 4,932.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.06 : 12,431.27 = 3,289.18 : x
  2. Step 2: Convert to fraction form
    8,289.06/12,431.27 = 3,289.18/x
  3. Step 3: Cross multiply
    8,289.06x = 12,431.27 × 3,289.18
  4. Step 4: Simplify right side
    8,289.06x = 40,888,720.07
  5. Step 5: Solve for x
    x = 40,888,720.07/8,289.06
  6. Step 6: Final answer
    x = 4,932.85

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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.