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Finding the Fourth Proportional to 27,082.57, 40,624.70 and 7,361.55

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Solution

The fourth proportional to 27,082.57, 40,624.70 and 7,361.55 is: 11,042.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.57 : 40,624.70 = 7,361.55 : x
  2. Step 2: Convert to fraction form
    27,082.57/40,624.70 = 7,361.55/x
  3. Step 3: Cross multiply
    27,082.57x = 40,624.70 × 7,361.55
  4. Step 4: Simplify right side
    27,082.57x = 299,060,557.16
  5. Step 5: Solve for x
    x = 299,060,557.16/27,082.57
  6. Step 6: Final answer
    x = 11,042.55

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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.