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Finding the Fourth Proportional to 10,912.74, 15,057.81 and 6,132.12

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Solution

The fourth proportional to 10,912.74, 15,057.81 and 6,132.12 is: 8,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.74 : 15,057.81 = 6,132.12 : x
  2. Step 2: Convert to fraction form
    10,912.74/15,057.81 = 6,132.12/x
  3. Step 3: Cross multiply
    10,912.74x = 15,057.81 × 6,132.12
  4. Step 4: Simplify right side
    10,912.74x = 92,336,297.86
  5. Step 5: Solve for x
    x = 92,336,297.86/10,912.74
  6. Step 6: Final answer
    x = 8,461.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.