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Finding the Fourth Proportional to 10,469.58, 14,448.96 and 5,932.80

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Solution

The fourth proportional to 10,469.58, 14,448.96 and 5,932.80 is: 8,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.58 : 14,448.96 = 5,932.80 : x
  2. Step 2: Convert to fraction form
    10,469.58/14,448.96 = 5,932.80/x
  3. Step 3: Cross multiply
    10,469.58x = 14,448.96 × 5,932.80
  4. Step 4: Simplify right side
    10,469.58x = 85,722,789.89
  5. Step 5: Solve for x
    x = 85,722,789.89/10,469.58
  6. Step 6: Final answer
    x = 8,187.80

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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.