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Finding the Fourth Proportional to 6,902.29, 10,354.97 and 2,519.74

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Solution

The fourth proportional to 6,902.29, 10,354.97 and 2,519.74 is: 3,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.29 : 10,354.97 = 2,519.74 : x
  2. Step 2: Convert to fraction form
    6,902.29/10,354.97 = 2,519.74/x
  3. Step 3: Cross multiply
    6,902.29x = 10,354.97 × 2,519.74
  4. Step 4: Simplify right side
    6,902.29x = 26,091,767.73
  5. Step 5: Solve for x
    x = 26,091,767.73/6,902.29
  6. Step 6: Final answer
    x = 3,780.16

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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.