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Finding the Fourth Proportional to 10,485.25, 14,469.74 and 5,769.70

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Solution

The fourth proportional to 10,485.25, 14,469.74 and 5,769.70 is: 7,962.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.25 : 14,469.74 = 5,769.70 : x
  2. Step 2: Convert to fraction form
    10,485.25/14,469.74 = 5,769.70/x
  3. Step 3: Cross multiply
    10,485.25x = 14,469.74 × 5,769.70
  4. Step 4: Simplify right side
    10,485.25x = 83,486,015.49
  5. Step 5: Solve for x
    x = 83,486,015.49/10,485.25
  6. Step 6: Final answer
    x = 7,962.24

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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.