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Finding the Fourth Proportional to 10,082.81, 15,125.84 and 4,241.09

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Solution

The fourth proportional to 10,082.81, 15,125.84 and 4,241.09 is: 6,362.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.81 : 15,125.84 = 4,241.09 : x
  2. Step 2: Convert to fraction form
    10,082.81/15,125.84 = 4,241.09/x
  3. Step 3: Cross multiply
    10,082.81x = 15,125.84 × 4,241.09
  4. Step 4: Simplify right side
    10,082.81x = 64,149,951.93
  5. Step 5: Solve for x
    x = 64,149,951.93/10,082.81
  6. Step 6: Final answer
    x = 6,362.31

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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.