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Finding the Fourth Proportional to 10,401, 14,346.63 and 7,003.86

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Solution

The fourth proportional to 10,401, 14,346.63 and 7,003.86 is: 9,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401 : 14,346.63 = 7,003.86 : x
  2. Step 2: Convert to fraction form
    10,401/14,346.63 = 7,003.86/x
  3. Step 3: Cross multiply
    10,401x = 14,346.63 × 7,003.86
  4. Step 4: Simplify right side
    10,401x = 100,481,787.99
  5. Step 5: Solve for x
    x = 100,481,787.99/10,401
  6. Step 6: Final answer
    x = 9,660.78

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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.