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Finding the Fourth Proportional to 10,484.81, 14,469.14 and 5,769.20

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Solution

The fourth proportional to 10,484.81, 14,469.14 and 5,769.20 is: 7,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.81 : 14,469.14 = 5,769.20 : x
  2. Step 2: Convert to fraction form
    10,484.81/14,469.14 = 5,769.20/x
  3. Step 3: Cross multiply
    10,484.81x = 14,469.14 × 5,769.20
  4. Step 4: Simplify right side
    10,484.81x = 83,475,304.57
  5. Step 5: Solve for x
    x = 83,475,304.57/10,484.81
  6. Step 6: Final answer
    x = 7,961.54

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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.