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Finding the Fourth Proportional to 6,876.24, 10,309.04 and 3,415.92

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Solution

The fourth proportional to 6,876.24, 10,309.04 and 3,415.92 is: 5,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.24 : 10,309.04 = 3,415.92 : x
  2. Step 2: Convert to fraction form
    6,876.24/10,309.04 = 3,415.92/x
  3. Step 3: Cross multiply
    6,876.24x = 10,309.04 × 3,415.92
  4. Step 4: Simplify right side
    6,876.24x = 35,214,855.92
  5. Step 5: Solve for x
    x = 35,214,855.92/6,876.24
  6. Step 6: Final answer
    x = 5,121.24

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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.