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Finding the Fourth Proportional to 10,466.96, 15,694.29 and 4,227.17

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Solution

The fourth proportional to 10,466.96, 15,694.29 and 4,227.17 is: 6,338.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.96 : 15,694.29 = 4,227.17 : x
  2. Step 2: Convert to fraction form
    10,466.96/15,694.29 = 4,227.17/x
  3. Step 3: Cross multiply
    10,466.96x = 15,694.29 × 4,227.17
  4. Step 4: Simplify right side
    10,466.96x = 66,342,353.39
  5. Step 5: Solve for x
    x = 66,342,353.39/10,466.96
  6. Step 6: Final answer
    x = 6,338.27

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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.