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Finding the Fourth Proportional to 27,628.80, 41,443.20 and 6,852.30

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Solution

The fourth proportional to 27,628.80, 41,443.20 and 6,852.30 is: 10,278.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628.80 : 41,443.20 = 6,852.30 : x
  2. Step 2: Convert to fraction form
    27,628.80/41,443.20 = 6,852.30/x
  3. Step 3: Cross multiply
    27,628.80x = 41,443.20 × 6,852.30
  4. Step 4: Simplify right side
    27,628.80x = 283,981,239.36
  5. Step 5: Solve for x
    x = 283,981,239.36/27,628.80
  6. Step 6: Final answer
    x = 10,278.45

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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.