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Finding the Fourth Proportional to 10,850.71, 14,974.23 and 6,135.25

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Solution

The fourth proportional to 10,850.71, 14,974.23 and 6,135.25 is: 8,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.71 : 14,974.23 = 6,135.25 : x
  2. Step 2: Convert to fraction form
    10,850.71/14,974.23 = 6,135.25/x
  3. Step 3: Cross multiply
    10,850.71x = 14,974.23 × 6,135.25
  4. Step 4: Simplify right side
    10,850.71x = 91,870,644.61
  5. Step 5: Solve for x
    x = 91,870,644.61/10,850.71
  6. Step 6: Final answer
    x = 8,466.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.