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Finding the Fourth Proportional to 6,902.70, 10,354.73 and 2,519.15

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Solution

The fourth proportional to 6,902.70, 10,354.73 and 2,519.15 is: 3,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.70 : 10,354.73 = 2,519.15 : x
  2. Step 2: Convert to fraction form
    6,902.70/10,354.73 = 2,519.15/x
  3. Step 3: Cross multiply
    6,902.70x = 10,354.73 × 2,519.15
  4. Step 4: Simplify right side
    6,902.70x = 26,085,053.71
  5. Step 5: Solve for x
    x = 26,085,053.71/6,902.70
  6. Step 6: Final answer
    x = 3,778.96

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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.