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Finding the Fourth Proportional to 10,738.02, 14,812.02 and 7,201.56

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Solution

The fourth proportional to 10,738.02, 14,812.02 and 7,201.56 is: 9,933.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.02 : 14,812.02 = 7,201.56 : x
  2. Step 2: Convert to fraction form
    10,738.02/14,812.02 = 7,201.56/x
  3. Step 3: Cross multiply
    10,738.02x = 14,812.02 × 7,201.56
  4. Step 4: Simplify right side
    10,738.02x = 106,669,650.75
  5. Step 5: Solve for x
    x = 106,669,650.75/10,738.02
  6. Step 6: Final answer
    x = 9,933.83

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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.