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Finding the Fourth Proportional to 10,379.70, 14,324.30 and 5,904.09

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Solution

The fourth proportional to 10,379.70, 14,324.30 and 5,904.09 is: 8,147.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.70 : 14,324.30 = 5,904.09 : x
  2. Step 2: Convert to fraction form
    10,379.70/14,324.30 = 5,904.09/x
  3. Step 3: Cross multiply
    10,379.70x = 14,324.30 × 5,904.09
  4. Step 4: Simplify right side
    10,379.70x = 84,571,956.39
  5. Step 5: Solve for x
    x = 84,571,956.39/10,379.70
  6. Step 6: Final answer
    x = 8,147.82

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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.