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Finding the Fourth Proportional to 7,317.50, 10,976.25 and 3,424.64

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Solution

The fourth proportional to 7,317.50, 10,976.25 and 3,424.64 is: 5,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.50 : 10,976.25 = 3,424.64 : x
  2. Step 2: Convert to fraction form
    7,317.50/10,976.25 = 3,424.64/x
  3. Step 3: Cross multiply
    7,317.50x = 10,976.25 × 3,424.64
  4. Step 4: Simplify right side
    7,317.50x = 37,589,649.92
  5. Step 5: Solve for x
    x = 37,589,649.92/7,317.50
  6. Step 6: Final answer
    x = 5,136.96

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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.