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Finding the Fourth Proportional to 6,836.20, 10,265.10 and 5,000.20

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Solution

The fourth proportional to 6,836.20, 10,265.10 and 5,000.20 is: 7,508.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.20 : 10,265.10 = 5,000.20 : x
  2. Step 2: Convert to fraction form
    6,836.20/10,265.10 = 5,000.20/x
  3. Step 3: Cross multiply
    6,836.20x = 10,265.10 × 5,000.20
  4. Step 4: Simplify right side
    6,836.20x = 51,327,553.02
  5. Step 5: Solve for x
    x = 51,327,553.02/6,836.20
  6. Step 6: Final answer
    x = 7,508.20

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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.