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Finding the Fourth Proportional to 10,485.38, 14,470.11 and 5,769.96

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Solution

The fourth proportional to 10,485.38, 14,470.11 and 5,769.96 is: 7,962.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.38 : 14,470.11 = 5,769.96 : x
  2. Step 2: Convert to fraction form
    10,485.38/14,470.11 = 5,769.96/x
  3. Step 3: Cross multiply
    10,485.38x = 14,470.11 × 5,769.96
  4. Step 4: Simplify right side
    10,485.38x = 83,491,955.90
  5. Step 5: Solve for x
    x = 83,491,955.90/10,485.38
  6. Step 6: Final answer
    x = 7,962.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.