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Finding the Fourth Proportional to 10,485.30, 14,469.36 and 5,769.54

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Solution

The fourth proportional to 10,485.30, 14,469.36 and 5,769.54 is: 7,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.30 : 14,469.36 = 5,769.54 : x
  2. Step 2: Convert to fraction form
    10,485.30/14,469.36 = 5,769.54/x
  3. Step 3: Cross multiply
    10,485.30x = 14,469.36 × 5,769.54
  4. Step 4: Simplify right side
    10,485.30x = 83,481,551.29
  5. Step 5: Solve for x
    x = 83,481,551.29/10,485.30
  6. Step 6: Final answer
    x = 7,961.77

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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.