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Finding the Fourth Proportional to 10,704.57, 16,052.87 and 3,682.62

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Solution

The fourth proportional to 10,704.57, 16,052.87 and 3,682.62 is: 5,522.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.57 : 16,052.87 = 3,682.62 : x
  2. Step 2: Convert to fraction form
    10,704.57/16,052.87 = 3,682.62/x
  3. Step 3: Cross multiply
    10,704.57x = 16,052.87 × 3,682.62
  4. Step 4: Simplify right side
    10,704.57x = 59,116,601.71
  5. Step 5: Solve for x
    x = 59,116,601.71/10,704.57
  6. Step 6: Final answer
    x = 5,522.56

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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.