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Finding the Fourth Proportional to 11,082.75, 15,294.20 and 6,114.75

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Solution

The fourth proportional to 11,082.75, 15,294.20 and 6,114.75 is: 8,438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.75 : 15,294.20 = 6,114.75 : x
  2. Step 2: Convert to fraction form
    11,082.75/15,294.20 = 6,114.75/x
  3. Step 3: Cross multiply
    11,082.75x = 15,294.20 × 6,114.75
  4. Step 4: Simplify right side
    11,082.75x = 93,520,178.88
  5. Step 5: Solve for x
    x = 93,520,178.88/11,082.75
  6. Step 6: Final answer
    x = 8,438.36

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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.