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Finding the Fourth Proportional to 6,842.99, 10,263.59 and 2,163.47

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Solution

The fourth proportional to 6,842.99, 10,263.59 and 2,163.47 is: 3,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.99 : 10,263.59 = 2,163.47 : x
  2. Step 2: Convert to fraction form
    6,842.99/10,263.59 = 2,163.47/x
  3. Step 3: Cross multiply
    6,842.99x = 10,263.59 × 2,163.47
  4. Step 4: Simplify right side
    6,842.99x = 22,204,917.74
  5. Step 5: Solve for x
    x = 22,204,917.74/6,842.99
  6. Step 6: Final answer
    x = 3,244.92

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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.