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Finding the Fourth Proportional to 10,003.73, 14,974.11 and 6,865.37

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Solution

The fourth proportional to 10,003.73, 14,974.11 and 6,865.37 is: 10,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.73 : 14,974.11 = 6,865.37 : x
  2. Step 2: Convert to fraction form
    10,003.73/14,974.11 = 6,865.37/x
  3. Step 3: Cross multiply
    10,003.73x = 14,974.11 × 6,865.37
  4. Step 4: Simplify right side
    10,003.73x = 102,802,805.57
  5. Step 5: Solve for x
    x = 102,802,805.57/10,003.73
  6. Step 6: Final answer
    x = 10,276.45

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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.