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Finding the Fourth Proportional to 11,463.28, 17,199.87 and 6,202.00

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Solution

The fourth proportional to 11,463.28, 17,199.87 and 6,202.00 is: 9,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.28 : 17,199.87 = 6,202.00 : x
  2. Step 2: Convert to fraction form
    11,463.28/17,199.87 = 6,202.00/x
  3. Step 3: Cross multiply
    11,463.28x = 17,199.87 × 6,202.00
  4. Step 4: Simplify right side
    11,463.28x = 106,673,550.74
  5. Step 5: Solve for x
    x = 106,673,550.74/11,463.28
  6. Step 6: Final answer
    x = 9,305.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.