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Finding the Fourth Proportional to 10,485.39, 14,469.81 and 5,769.66

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Solution

The fourth proportional to 10,485.39, 14,469.81 and 5,769.66 is: 7,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.39 : 14,469.81 = 5,769.66 : x
  2. Step 2: Convert to fraction form
    10,485.39/14,469.81 = 5,769.66/x
  3. Step 3: Cross multiply
    10,485.39x = 14,469.81 × 5,769.66
  4. Step 4: Simplify right side
    10,485.39x = 83,485,883.96
  5. Step 5: Solve for x
    x = 83,485,883.96/10,485.39
  6. Step 6: Final answer
    x = 7,962.12

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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.