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Finding the Fourth Proportional to 10,324.80, 15,489.12 and 3,209.28

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Solution

The fourth proportional to 10,324.80, 15,489.12 and 3,209.28 is: 4,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.80 : 15,489.12 = 3,209.28 : x
  2. Step 2: Convert to fraction form
    10,324.80/15,489.12 = 3,209.28/x
  3. Step 3: Cross multiply
    10,324.80x = 15,489.12 × 3,209.28
  4. Step 4: Simplify right side
    10,324.80x = 49,708,923.03
  5. Step 5: Solve for x
    x = 49,708,923.03/10,324.80
  6. Step 6: Final answer
    x = 4,814.52

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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.