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Finding the Fourth Proportional to 6,924.46, 10,382.10 and 3,224.68

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Solution

The fourth proportional to 6,924.46, 10,382.10 and 3,224.68 is: 4,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.46 : 10,382.10 = 3,224.68 : x
  2. Step 2: Convert to fraction form
    6,924.46/10,382.10 = 3,224.68/x
  3. Step 3: Cross multiply
    6,924.46x = 10,382.10 × 3,224.68
  4. Step 4: Simplify right side
    6,924.46x = 33,478,950.23
  5. Step 5: Solve for x
    x = 33,478,950.23/6,924.46
  6. Step 6: Final answer
    x = 4,834.88

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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.