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Finding the Fourth Proportional to 6,082.54, 9,106.04 and 5,498.89

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Solution

The fourth proportional to 6,082.54, 9,106.04 and 5,498.89 is: 8,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.54 : 9,106.04 = 5,498.89 : x
  2. Step 2: Convert to fraction form
    6,082.54/9,106.04 = 5,498.89/x
  3. Step 3: Cross multiply
    6,082.54x = 9,106.04 × 5,498.89
  4. Step 4: Simplify right side
    6,082.54x = 50,073,112.30
  5. Step 5: Solve for x
    x = 50,073,112.30/6,082.54
  6. Step 6: Final answer
    x = 8,232.27

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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.