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Finding the Fourth Proportional to 10,082.82, 15,124.23 and 3,157.32

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Solution

The fourth proportional to 10,082.82, 15,124.23 and 3,157.32 is: 4,735.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.82 : 15,124.23 = 3,157.32 : x
  2. Step 2: Convert to fraction form
    10,082.82/15,124.23 = 3,157.32/x
  3. Step 3: Cross multiply
    10,082.82x = 15,124.23 × 3,157.32
  4. Step 4: Simplify right side
    10,082.82x = 47,752,033.86
  5. Step 5: Solve for x
    x = 47,752,033.86/10,082.82
  6. Step 6: Final answer
    x = 4,735.98

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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.