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Finding the Fourth Proportional to 10,704.20, 16,049.10 and 4,857.80

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Solution

The fourth proportional to 10,704.20, 16,049.10 and 4,857.80 is: 7,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.20 : 16,049.10 = 4,857.80 : x
  2. Step 2: Convert to fraction form
    10,704.20/16,049.10 = 4,857.80/x
  3. Step 3: Cross multiply
    10,704.20x = 16,049.10 × 4,857.80
  4. Step 4: Simplify right side
    10,704.20x = 77,963,317.98
  5. Step 5: Solve for x
    x = 77,963,317.98/10,704.20
  6. Step 6: Final answer
    x = 7,283.43

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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.