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Finding the Fourth Proportional to 10,504.85, 15,753.06 and 5,238.09

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Solution

The fourth proportional to 10,504.85, 15,753.06 and 5,238.09 is: 7,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.85 : 15,753.06 = 5,238.09 : x
  2. Step 2: Convert to fraction form
    10,504.85/15,753.06 = 5,238.09/x
  3. Step 3: Cross multiply
    10,504.85x = 15,753.06 × 5,238.09
  4. Step 4: Simplify right side
    10,504.85x = 82,515,946.06
  5. Step 5: Solve for x
    x = 82,515,946.06/10,504.85
  6. Step 6: Final answer
    x = 7,855.04

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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.