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Finding the Fourth Proportional to 10,485.02, 14,469.26 and 5,769.02

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Solution

The fourth proportional to 10,485.02, 14,469.26 and 5,769.02 is: 7,961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.02 : 14,469.26 = 5,769.02 : x
  2. Step 2: Convert to fraction form
    10,485.02/14,469.26 = 5,769.02/x
  3. Step 3: Cross multiply
    10,485.02x = 14,469.26 × 5,769.02
  4. Step 4: Simplify right side
    10,485.02x = 83,473,450.33
  5. Step 5: Solve for x
    x = 83,473,450.33/10,485.02
  6. Step 6: Final answer
    x = 7,961.21

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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.