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Finding the Fourth Proportional to 8,262.14, 11,401.83 and 4,485.34

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Solution

The fourth proportional to 8,262.14, 11,401.83 and 4,485.34 is: 6,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.14 : 11,401.83 = 4,485.34 : x
  2. Step 2: Convert to fraction form
    8,262.14/11,401.83 = 4,485.34/x
  3. Step 3: Cross multiply
    8,262.14x = 11,401.83 × 4,485.34
  4. Step 4: Simplify right side
    8,262.14x = 51,141,027.16
  5. Step 5: Solve for x
    x = 51,141,027.16/8,262.14
  6. Step 6: Final answer
    x = 6,189.81

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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.