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Finding the Fourth Proportional to 6,682.50, 10,015.92 and 2,296.08

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Solution

The fourth proportional to 6,682.50, 10,015.92 and 2,296.08 is: 3,441.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,682.50 : 10,015.92 = 2,296.08 : x
  2. Step 2: Convert to fraction form
    6,682.50/10,015.92 = 2,296.08/x
  3. Step 3: Cross multiply
    6,682.50x = 10,015.92 × 2,296.08
  4. Step 4: Simplify right side
    6,682.50x = 22,997,353.59
  5. Step 5: Solve for x
    x = 22,997,353.59/6,682.50
  6. Step 6: Final answer
    x = 3,441.43

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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.