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Finding the Fourth Proportional to 10,485.08, 14,469.50 and 5,769.36

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Solution

The fourth proportional to 10,485.08, 14,469.50 and 5,769.36 is: 7,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.08 : 14,469.50 = 5,769.36 : x
  2. Step 2: Convert to fraction form
    10,485.08/14,469.50 = 5,769.36/x
  3. Step 3: Cross multiply
    10,485.08x = 14,469.50 × 5,769.36
  4. Step 4: Simplify right side
    10,485.08x = 83,479,754.52
  5. Step 5: Solve for x
    x = 83,479,754.52/10,485.08
  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.