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Finding the Fourth Proportional to 10,484.96, 14,469.21 and 5,769.23

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Solution

The fourth proportional to 10,484.96, 14,469.21 and 5,769.23 is: 7,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.96 : 14,469.21 = 5,769.23 : x
  2. Step 2: Convert to fraction form
    10,484.96/14,469.21 = 5,769.23/x
  3. Step 3: Cross multiply
    10,484.96x = 14,469.21 × 5,769.23
  4. Step 4: Simplify right side
    10,484.96x = 83,476,128.06
  5. Step 5: Solve for x
    x = 83,476,128.06/10,484.96
  6. Step 6: Final answer
    x = 7,961.52

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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.