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Finding the Fourth Proportional to 10,484.64, 14,469.03 and 5,769.23

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Solution

The fourth proportional to 10,484.64, 14,469.03 and 5,769.23 is: 7,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,484.64 : 14,469.03 = 5,769.23 : x
  2. Step 2: Convert to fraction form
    10,484.64/14,469.03 = 5,769.23/x
  3. Step 3: Cross multiply
    10,484.64x = 14,469.03 × 5,769.23
  4. Step 4: Simplify right side
    10,484.64x = 83,475,089.60
  5. Step 5: Solve for x
    x = 83,475,089.60/10,484.64
  6. Step 6: Final answer
    x = 7,961.66

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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.