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Finding the Fourth Proportional to 28,549.28, 42,825.09 and 7,772.78

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Solution

The fourth proportional to 28,549.28, 42,825.09 and 7,772.78 is: 11,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,549.28 : 42,825.09 = 7,772.78 : x
  2. Step 2: Convert to fraction form
    28,549.28/42,825.09 = 7,772.78/x
  3. Step 3: Cross multiply
    28,549.28x = 42,825.09 × 7,772.78
  4. Step 4: Simplify right side
    28,549.28x = 332,870,003.05
  5. Step 5: Solve for x
    x = 332,870,003.05/28,549.28
  6. Step 6: Final answer
    x = 11,659.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.