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Finding the Fourth Proportional to 27,752.76, 41,628.60 and 6,976.44

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Solution

The fourth proportional to 27,752.76, 41,628.60 and 6,976.44 is: 10,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,752.76 : 41,628.60 = 6,976.44 : x
  2. Step 2: Convert to fraction form
    27,752.76/41,628.60 = 6,976.44/x
  3. Step 3: Cross multiply
    27,752.76x = 41,628.60 × 6,976.44
  4. Step 4: Simplify right side
    27,752.76x = 290,419,430.18
  5. Step 5: Solve for x
    x = 290,419,430.18/27,752.76
  6. Step 6: Final answer
    x = 10,464.52

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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.