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Finding the Fourth Proportional to 8,982.50, 13,475.92 and 2,826.50

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Solution

The fourth proportional to 8,982.50, 13,475.92 and 2,826.50 is: 4,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,982.50 : 13,475.92 = 2,826.50 : x
  2. Step 2: Convert to fraction form
    8,982.50/13,475.92 = 2,826.50/x
  3. Step 3: Cross multiply
    8,982.50x = 13,475.92 × 2,826.50
  4. Step 4: Simplify right side
    8,982.50x = 38,089,687.88
  5. Step 5: Solve for x
    x = 38,089,687.88/8,982.50
  6. Step 6: Final answer
    x = 4,240.43

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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.