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Finding the Fourth Proportional to 6,929.82, 10,394.16 and 2,981.04

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Solution

The fourth proportional to 6,929.82, 10,394.16 and 2,981.04 is: 4,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.82 : 10,394.16 = 2,981.04 : x
  2. Step 2: Convert to fraction form
    6,929.82/10,394.16 = 2,981.04/x
  3. Step 3: Cross multiply
    6,929.82x = 10,394.16 × 2,981.04
  4. Step 4: Simplify right side
    6,929.82x = 30,985,406.73
  5. Step 5: Solve for x
    x = 30,985,406.73/6,929.82
  6. Step 6: Final answer
    x = 4,471.31

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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.