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Finding the Fourth Proportional to 10,485.93, 14,469.93 and 5,769.30

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Solution

The fourth proportional to 10,485.93, 14,469.93 and 5,769.30 is: 7,961.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.93 : 14,469.93 = 5,769.30 : x
  2. Step 2: Convert to fraction form
    10,485.93/14,469.93 = 5,769.30/x
  3. Step 3: Cross multiply
    10,485.93x = 14,469.93 × 5,769.30
  4. Step 4: Simplify right side
    10,485.93x = 83,481,367.15
  5. Step 5: Solve for x
    x = 83,481,367.15/10,485.93
  6. Step 6: Final answer
    x = 7,961.27

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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.