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Finding the Fourth Proportional to 6,754.66, 10,131.92 and 2,371.10

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Solution

The fourth proportional to 6,754.66, 10,131.92 and 2,371.10 is: 3,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.66 : 10,131.92 = 2,371.10 : x
  2. Step 2: Convert to fraction form
    6,754.66/10,131.92 = 2,371.10/x
  3. Step 3: Cross multiply
    6,754.66x = 10,131.92 × 2,371.10
  4. Step 4: Simplify right side
    6,754.66x = 24,023,795.51
  5. Step 5: Solve for x
    x = 24,023,795.51/6,754.66
  6. Step 6: Final answer
    x = 3,556.63

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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.