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Finding the Fourth Proportional to 10,649.97, 15,976.51 and 3,253.48

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Solution

The fourth proportional to 10,649.97, 15,976.51 and 3,253.48 is: 4,880.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.97 : 15,976.51 = 3,253.48 : x
  2. Step 2: Convert to fraction form
    10,649.97/15,976.51 = 3,253.48/x
  3. Step 3: Cross multiply
    10,649.97x = 15,976.51 × 3,253.48
  4. Step 4: Simplify right side
    10,649.97x = 51,979,207.68
  5. Step 5: Solve for x
    x = 51,979,207.68/10,649.97
  6. Step 6: Final answer
    x = 4,880.69

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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.