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Finding the Fourth Proportional to 6,981.30, 10,468.16 and 2,819.19

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Solution

The fourth proportional to 6,981.30, 10,468.16 and 2,819.19 is: 4,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.30 : 10,468.16 = 2,819.19 : x
  2. Step 2: Convert to fraction form
    6,981.30/10,468.16 = 2,819.19/x
  3. Step 3: Cross multiply
    6,981.30x = 10,468.16 × 2,819.19
  4. Step 4: Simplify right side
    6,981.30x = 29,511,717.89
  5. Step 5: Solve for x
    x = 29,511,717.89/6,981.30
  6. Step 6: Final answer
    x = 4,227.25

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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.