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Finding the Fourth Proportional to 8,121.92, 12,181.03 and 2,574.23

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Solution

The fourth proportional to 8,121.92, 12,181.03 and 2,574.23 is: 3,860.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.92 : 12,181.03 = 2,574.23 : x
  2. Step 2: Convert to fraction form
    8,121.92/12,181.03 = 2,574.23/x
  3. Step 3: Cross multiply
    8,121.92x = 12,181.03 × 2,574.23
  4. Step 4: Simplify right side
    8,121.92x = 31,356,788.51
  5. Step 5: Solve for x
    x = 31,356,788.51/8,121.92
  6. Step 6: Final answer
    x = 3,860.76

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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.