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Finding the Fourth Proportional to 6,976.26, 10,465.52 and 3,859.29

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Solution

The fourth proportional to 6,976.26, 10,465.52 and 3,859.29 is: 5,789.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.26 : 10,465.52 = 3,859.29 : x
  2. Step 2: Convert to fraction form
    6,976.26/10,465.52 = 3,859.29/x
  3. Step 3: Cross multiply
    6,976.26x = 10,465.52 × 3,859.29
  4. Step 4: Simplify right side
    6,976.26x = 40,389,457.38
  5. Step 5: Solve for x
    x = 40,389,457.38/6,976.26
  6. Step 6: Final answer
    x = 5,789.56

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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.