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Finding the Fourth Proportional to 27,082.14, 40,624.04 and 7,361.12

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Solution

The fourth proportional to 27,082.14, 40,624.04 and 7,361.12 is: 11,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.14 : 40,624.04 = 7,361.12 : x
  2. Step 2: Convert to fraction form
    27,082.14/40,624.04 = 7,361.12/x
  3. Step 3: Cross multiply
    27,082.14x = 40,624.04 × 7,361.12
  4. Step 4: Simplify right side
    27,082.14x = 299,038,433.32
  5. Step 5: Solve for x
    x = 299,038,433.32/27,082.14
  6. Step 6: Final answer
    x = 11,041.91

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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.