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Finding the Fourth Proportional to 6,926.96, 10,394.10 and 3,034.12

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Solution

The fourth proportional to 6,926.96, 10,394.10 and 3,034.12 is: 4,552.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.96 : 10,394.10 = 3,034.12 : x
  2. Step 2: Convert to fraction form
    6,926.96/10,394.10 = 3,034.12/x
  3. Step 3: Cross multiply
    6,926.96x = 10,394.10 × 3,034.12
  4. Step 4: Simplify right side
    6,926.96x = 31,536,946.69
  5. Step 5: Solve for x
    x = 31,536,946.69/6,926.96
  6. Step 6: Final answer
    x = 4,552.78

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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.