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Finding the Fourth Proportional to 10,033.50, 13,847.04 and 5,842.56

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Solution

The fourth proportional to 10,033.50, 13,847.04 and 5,842.56 is: 8,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.50 : 13,847.04 = 5,842.56 : x
  2. Step 2: Convert to fraction form
    10,033.50/13,847.04 = 5,842.56/x
  3. Step 3: Cross multiply
    10,033.50x = 13,847.04 × 5,842.56
  4. Step 4: Simplify right side
    10,033.50x = 80,902,162.02
  5. Step 5: Solve for x
    x = 80,902,162.02/10,033.50
  6. Step 6: Final answer
    x = 8,063.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.