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Finding the Fourth Proportional to 10,082.44, 15,125.40 and 3,506.86

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Solution

The fourth proportional to 10,082.44, 15,125.40 and 3,506.86 is: 5,260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.44 : 15,125.40 = 3,506.86 : x
  2. Step 2: Convert to fraction form
    10,082.44/15,125.40 = 3,506.86/x
  3. Step 3: Cross multiply
    10,082.44x = 15,125.40 × 3,506.86
  4. Step 4: Simplify right side
    10,082.44x = 53,042,660.24
  5. Step 5: Solve for x
    x = 53,042,660.24/10,082.44
  6. Step 6: Final answer
    x = 5,260.90

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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.