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Finding the Fourth Proportional to 10,724.88, 16,078.80 and 3,324.72

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Solution

The fourth proportional to 10,724.88, 16,078.80 and 3,324.72 is: 4,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.88 : 16,078.80 = 3,324.72 : x
  2. Step 2: Convert to fraction form
    10,724.88/16,078.80 = 3,324.72/x
  3. Step 3: Cross multiply
    10,724.88x = 16,078.80 × 3,324.72
  4. Step 4: Simplify right side
    10,724.88x = 53,457,507.94
  5. Step 5: Solve for x
    x = 53,457,507.94/10,724.88
  6. Step 6: Final answer
    x = 4,984.44

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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.