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Finding the Fourth Proportional to 10,379.71, 14,324.00 and 7,400.73

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Solution

The fourth proportional to 10,379.71, 14,324.00 and 7,400.73 is: 10,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.71 : 14,324.00 = 7,400.73 : x
  2. Step 2: Convert to fraction form
    10,379.71/14,324.00 = 7,400.73/x
  3. Step 3: Cross multiply
    10,379.71x = 14,324.00 × 7,400.73
  4. Step 4: Simplify right side
    10,379.71x = 106,008,040.67
  5. Step 5: Solve for x
    x = 106,008,040.67/10,379.71
  6. Step 6: Final answer
    x = 10,213.01

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