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Finding the Fourth Proportional to 6,902.40, 10,355.16 and 2,519.88

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Solution

The fourth proportional to 6,902.40, 10,355.16 and 2,519.88 is: 3,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.40 : 10,355.16 = 2,519.88 : x
  2. Step 2: Convert to fraction form
    6,902.40/10,355.16 = 2,519.88/x
  3. Step 3: Cross multiply
    6,902.40x = 10,355.16 × 2,519.88
  4. Step 4: Simplify right side
    6,902.40x = 26,093,760.58
  5. Step 5: Solve for x
    x = 26,093,760.58/6,902.40
  6. Step 6: Final answer
    x = 3,780.39

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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.