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Finding the Fourth Proportional to 10,227.05, 15,352.86 and 6,930.14

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Solution

The fourth proportional to 10,227.05, 15,352.86 and 6,930.14 is: 10,403.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.05 : 15,352.86 = 6,930.14 : x
  2. Step 2: Convert to fraction form
    10,227.05/15,352.86 = 6,930.14/x
  3. Step 3: Cross multiply
    10,227.05x = 15,352.86 × 6,930.14
  4. Step 4: Simplify right side
    10,227.05x = 106,397,392.44
  5. Step 5: Solve for x
    x = 106,397,392.44/10,227.05
  6. Step 6: Final answer
    x = 10,403.53

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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.