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Finding the Fourth Proportional to 6,735.96, 10,082.07 and 5,081.13

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Solution

The fourth proportional to 6,735.96, 10,082.07 and 5,081.13 is: 7,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.96 : 10,082.07 = 5,081.13 : x
  2. Step 2: Convert to fraction form
    6,735.96/10,082.07 = 5,081.13/x
  3. Step 3: Cross multiply
    6,735.96x = 10,082.07 × 5,081.13
  4. Step 4: Simplify right side
    6,735.96x = 51,228,308.34
  5. Step 5: Solve for x
    x = 51,228,308.34/6,735.96
  6. Step 6: Final answer
    x = 7,605.20

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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.