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Finding the Fourth Proportional to 6,754.78, 10,132.10 and 2,137.78

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Solution

The fourth proportional to 6,754.78, 10,132.10 and 2,137.78 is: 3,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.78 : 10,132.10 = 2,137.78 : x
  2. Step 2: Convert to fraction form
    6,754.78/10,132.10 = 2,137.78/x
  3. Step 3: Cross multiply
    6,754.78x = 10,132.10 × 2,137.78
  4. Step 4: Simplify right side
    6,754.78x = 21,660,200.74
  5. Step 5: Solve for x
    x = 21,660,200.74/6,754.78
  6. Step 6: Final answer
    x = 3,206.65

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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.