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Finding the Fourth Proportional to 10,138.97, 15,206.02 and 2,743.49

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Solution

The fourth proportional to 10,138.97, 15,206.02 and 2,743.49 is: 4,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.97 : 15,206.02 = 2,743.49 : x
  2. Step 2: Convert to fraction form
    10,138.97/15,206.02 = 2,743.49/x
  3. Step 3: Cross multiply
    10,138.97x = 15,206.02 × 2,743.49
  4. Step 4: Simplify right side
    10,138.97x = 41,717,594.97
  5. Step 5: Solve for x
    x = 41,717,594.97/10,138.97
  6. Step 6: Final answer
    x = 4,114.58

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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.