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Finding the Fourth Proportional to 10,344.66, 15,512.44 and 2,947.44

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Solution

The fourth proportional to 10,344.66, 15,512.44 and 2,947.44 is: 4,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.66 : 15,512.44 = 2,947.44 : x
  2. Step 2: Convert to fraction form
    10,344.66/15,512.44 = 2,947.44/x
  3. Step 3: Cross multiply
    10,344.66x = 15,512.44 × 2,947.44
  4. Step 4: Simplify right side
    10,344.66x = 45,721,946.94
  5. Step 5: Solve for x
    x = 45,721,946.94/10,344.66
  6. Step 6: Final answer
    x = 4,419.86

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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.