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Finding the Fourth Proportional to 10,056.92, 15,082.42 and 3,812.42

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Solution

The fourth proportional to 10,056.92, 15,082.42 and 3,812.42 is: 5,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,056.92 : 15,082.42 = 3,812.42 : x
  2. Step 2: Convert to fraction form
    10,056.92/15,082.42 = 3,812.42/x
  3. Step 3: Cross multiply
    10,056.92x = 15,082.42 × 3,812.42
  4. Step 4: Simplify right side
    10,056.92x = 57,500,519.66
  5. Step 5: Solve for x
    x = 57,500,519.66/10,056.92
  6. Step 6: Final answer
    x = 5,717.51

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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.