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Finding the Fourth Proportional to 10,401.28, 14,353.28 and 5,684.64

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Solution

The fourth proportional to 10,401.28, 14,353.28 and 5,684.64 is: 7,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.28 : 14,353.28 = 5,684.64 : x
  2. Step 2: Convert to fraction form
    10,401.28/14,353.28 = 5,684.64/x
  3. Step 3: Cross multiply
    10,401.28x = 14,353.28 × 5,684.64
  4. Step 4: Simplify right side
    10,401.28x = 81,593,229.62
  5. Step 5: Solve for x
    x = 81,593,229.62/10,401.28
  6. Step 6: Final answer
    x = 7,844.54

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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.